Search a number
-
+
121012212121000 = 23532324172176831
BaseRepresentation
bin11011100000111101011001…
…111010101011110110101000
3120212110122200010110111002021
4123200331121322223312220
5111330131002300333000
61105212124235314224
734326562266226414
oct3340753172536650
9525418603414067
10121012212121000
1135615a99a62392
12116a4b88bab974
13526a5307993c5
1421c504534dd44
15decc1308d11a
hex6e0f59eabda8

121012212121000 has 128 divisors (see below), whose sum is σ = 295602640220160. Its totient is φ = 46281147264000.

The previous prime is 121012212120929. The next prime is 121012212121027. The reversal of 121012212121000 is 121212210121.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54502585 + ... + 56679415.

It is an arithmetic number, because the mean of its divisors is an integer number (2309395626720).

Almost surely, 2121012212121000 is an apocalyptic number.

121012212121000 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 121012212121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147801320110080).

121012212121000 is an abundant number, since it is smaller than the sum of its proper divisors (174590428099160).

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

121012212121000 is a wasteful number, since it uses less digits than its factorization.

121012212121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179292 (or 2179278 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121012212121000 its reverse (121212210121), we get a palindrome (121133424331121).

The spelling of 121012212121000 in words is "one hundred twenty-one trillion, twelve billion, two hundred twelve million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2417 2875 4600 4834 5750 9668 11500 12085 19336 23000 24170 48340 55591 60425 96680 111182 120850 222364 241700 277955 302125 444728 483400 555910 604250 1111820 1208500 1389775 2176831 2223640 2417000 2779550 4353662 5559100 6948875 8707324 10884155 11118200 13897750 17414648 21768310 27795500 43536620 50067113 54420775 55591000 87073240 100134226 108841550 200268452 217683100 250335565 272103875 400536904 435366200 500671130 544207750 1001342260 1088415500 1251677825 2002684520 2176831000 2503355650 5006711300 5261400527 6258389125 10013422600 10522801054 12516778250 21045602108 25033556500 26307002635 42091204216 50067113000 52614005270 105228010540 121012212121 131535013175 210456021080 242024424242 263070026350 484048848484 526140052700 605061060605 657675065875 968097696968 1052280105400 1210122121210 1315350131750 2420244242420 2630700263500 3025305303025 4840488484840 5261400527000 6050610606050 12101221212100 15126526515125 24202442424200 30253053030250 60506106060500 121012212121000