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12102121122 = 23713233251379
BaseRepresentation
bin10110100010101011…
…11011011010100010
31011020102021110012020
423101111323122202
5144241120333442
65320514242310
7605621221650
oct132125733242
934212243166
1012102121122
1151503717a3
122418b86396
1311ab36b920
1482b401dd0
154ac6e39ec
hex2d157b6a2

12102121122 has 128 divisors (see below), whose sum is σ = 30116136960. Its totient is φ = 3157056000.

The previous prime is 12102121099. The next prime is 12102121127. The reversal of 12102121122 is 22112120121.

It is a super-2 number, since 2×121021211222 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12102121127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31931529 + ... + 31931907.

It is an arithmetic number, because the mean of its divisors is an integer number (235282320).

Almost surely, 212102121122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058068480).

12102121122 is an abundant number, since it is smaller than the sum of its proper divisors (18014015838).

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

12102121122 is a wasteful number, since it uses less digits than its factorization.

12102121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12102121122 its reverse (22112120121), we get a palindrome (34214241243).

The spelling of 12102121122 in words is "twelve billion, one hundred two million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 233 251 273 379 466 502 546 699 753 758 1137 1398 1506 1631 1757 2274 2653 3029 3262 3263 3514 4893 4927 5271 5306 6058 6526 7959 9087 9786 9789 9854 10542 14781 15918 18174 19578 21203 22841 29562 34489 42406 45682 58483 63609 68523 68978 88307 95129 103467 116966 127218 137046 175449 176614 190258 206934 264921 285387 350898 409381 529842 570774 618149 665903 760279 818762 1147991 1228143 1236298 1236677 1331806 1520558 1854447 1997709 2280837 2295982 2456286 2473354 3443973 3708894 3710031 3995418 4561674 5321953 6887946 7420062 8035937 8656739 10643906 15965859 16071874 17313478 22165057 24107811 25970217 31931718 44330114 48215622 51940434 66495171 132990342 155155399 288145741 310310798 465466197 576291482 864437223 930932394 1728874446 2017020187 4034040374 6051060561 12102121122