Search a number
-
+
121221210111220 = 2252323310911036669
BaseRepresentation
bin11011100100000000000011…
…001010101111110011110100
3120220012122010120001102200201
4123210000003022233303310
5111342042014242024340
61105452131035450244
734350641406644152
oct3344000312576364
9526178116042621
10121221210111220
113569669897183a
1211719595bb6984
13528415a013b3b
1421d11d04823d2
15e0339644379a
hex6e40032afcf4

121221210111220 has 96 divisors (see below), whose sum is σ = 267017397454080. Its totient is φ = 46138858275840.

The previous prime is 121221210111137. The next prime is 121221210111233. The reversal of 121221210111220 is 22111012122121.

It is a happy number.

It is a congruent number.

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, 116415046 + ... + 117451714.

It is an arithmetic number, because the mean of its divisors is an integer number (2781431223480).

Almost surely, 2121221210111220 is an apocalyptic number.

121221210111220 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 121221210111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133508698727040).

121221210111220 is an abundant number, since it is smaller than the sum of its proper divisors (145796187342860).

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

121221210111220 is a wasteful number, since it uses less digits than its factorization.

121221210111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038025 (or 1038023 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 121221210111220 its reverse (22111012122121), we get a palindrome (143332222233341).

The spelling of 121221210111220 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred ten million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 233 460 466 932 1091 1165 2182 2330 4364 4660 5359 5455 10718 10910 21436 21820 25093 26795 50186 53590 100372 107180 125465 250930 254203 501860 508406 1016812 1036669 1271015 2073338 2542030 4146676 5084060 5183345 5846669 10366690 11693338 20733380 23386676 23843387 29233345 47686774 58466690 95373548 116933380 119216935 238433870 241543877 476867740 483087754 966175508 1131005879 1207719385 2262011758 2415438770 4524023516 4830877540 5555509171 5655029395 11111018342 11310058790 22222036684 22620117580 26013135217 27777545855 52026270434 55555091710 104052540868 111110183420 130065676085 260131352170 263524369807 520262704340 527048739614 1054097479228 1317621849035 2635243698070 5270487396140 6061060505561 12122121011122 24244242022244 30305302527805 60610605055610 121221210111220