Search a number
-
+
121021210202220 = 223255995511193131
BaseRepresentation
bin11011100001000101110010…
…001111101001000001101100
3120212111111220012221101000200
4123201011302033221001230
5111330302414302432340
61105220213151353500
734330331256526356
oct3341056217510154
9525444805841020
10121021210202220
1135619897162a49
12116a687a522890
13526b335a27213
1421c565a3c60d6
15ded08cedb330
hex6e11723e906c

121021210202220 has 144 divisors (see below), whose sum is σ = 373359065264640. Its totient is φ = 31721985936000.

The previous prime is 121021210202219. The next prime is 121021210202231. The reversal of 121021210202220 is 22202012120121.

It is a happy number.

121021210202220 is a `hidden beast` number, since 1 + 2 + 10 + 21 + 210 + 202 + 220 = 666.

It is a super-2 number, since 2×1210212102022202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121021210202193 and 121021210202202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100835055 + ... + 102028185.

It is an arithmetic number, because the mean of its divisors is an integer number (2592771286560).

Almost surely, 2121021210202220 is an apocalyptic number.

121021210202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121021210202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186679532632320).

121021210202220 is an abundant number, since it is smaller than the sum of its proper divisors (252337855062420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121021210202220 is a wasteful number, since it uses less digits than its factorization.

121021210202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202756 (or 1202751 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121021210202220 its reverse (22202012120121), we get a palindrome (143223222322341).

The spelling of 121021210202220 in words is "one hundred twenty-one trillion, twenty-one billion, two hundred ten million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 9551 10620 19102 28653 38204 47755 57306 85959 95510 114612 143265 171918 191020 286530 343836 429795 563509 573060 859590 1127018 1193131 1690527 1719180 2254036 2386262 2817545 3381054 3579393 4772524 5071581 5635090 5965655 6762108 7158786 8452635 10143162 10738179 11270180 11931310 14317572 16905270 17896965 20286324 21476358 23862620 25357905 33810540 35793930 42952716 50715810 53690895 70394729 71587860 101431620 107381790 140789458 211184187 214763580 281578916 351973645 422368374 633552561 703947290 844736748 1055920935 1267105122 1407894580 2111841870 2534210244 3167762805 4223683740 6335525610 11395594181 12671051220 22791188362 34186782543 45582376724 56977970905 68373565086 102560347629 113955941810 136747130172 170933912715 205120695258 227911883620 341867825430 410241390516 512801738145 672340056679 683735650860 1025603476290 1344680113358 2017020170037 2051206952580 2689360226716 3361700283395 4034040340074 6051060510111 6723400566790 8068080680148 10085100850185 12102121020222 13446801133580 20170201700370 24204242040444 30255302550555 40340403400740 60510605101110 121021210202220