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12223430112 = 2533712132837
BaseRepresentation
bin10110110001001001…
…01011110111100000
31011112212112120211210
423120210223313200
5200013144230422
65340530310120
7611623304325
oct133044536740
934485476753
1012223430112
115202897a63
122451728340
1311ca5335aa
1483d57cb4c
154b81a710c
hex2d892bde0

12223430112 has 96 divisors (see below), whose sum is σ = 32992499232. Its totient is φ = 3959691264.

The previous prime is 12223430059. The next prime is 12223430123. The reversal of 12223430112 is 21103432221.

12223430112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4307158 + ... + 4309994.

It is an arithmetic number, because the mean of its divisors is an integer number (343671867).

Almost surely, 212223430112 is an apocalyptic number.

12223430112 is a gapful number since it is divisible by the number (12) 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 12223430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16496249616).

12223430112 is an abundant number, since it is smaller than the sum of its proper divisors (20769069120).

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

12223430112 is a wasteful number, since it uses less digits than its factorization.

12223430112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12223430112 its reverse (21103432221), we get a palindrome (33326862333).

The spelling of 12223430112 in words is "twelve billion, two hundred twenty-three million, four hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1213 1776 2426 2837 3552 3639 4852 5674 7278 8511 9704 11348 14556 17022 19408 22696 29112 34044 38816 44881 45392 58224 68088 89762 90784 104969 116448 134643 136176 179524 209938 269286 272352 314907 359048 419876 538572 629814 718096 839752 1077144 1259628 1436192 1679504 2154288 2519256 3359008 3441281 4308576 5038512 6882562 10077024 10323843 13765124 20647686 27530248 41295372 55060496 82590744 110120992 127327397 165181488 254654794 330362976 381982191 509309588 763964382 1018619176 1527928764 2037238352 3055857528 4074476704 6111715056 12223430112