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12221022112 = 251359717013
BaseRepresentation
bin10110110000110110…
…11111111110100000
31011112201000020200121
423120123133332200
5200012040201422
65340402530024
7611563655035
oct133033377640
934481006617
1012221022112
1152014a2882
122450966914
1311c9b9c540
1483d11338c
154b7d7d8c7
hex2d86dffa0

12221022112 has 96 divisors (see below), whose sum is σ = 26725023360. Its totient is φ = 5465994240.

The previous prime is 12221022103. The next prime is 12221022179. The reversal of 12221022112 is 21122012221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1739118 + ... + 1746130.

It is an arithmetic number, because the mean of its divisors is an integer number (278385660).

Almost surely, 212221022112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13362511680).

12221022112 is an abundant number, since it is smaller than the sum of its proper divisors (14504001248).

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

12221022112 is a wasteful number, since it uses less digits than its factorization.

12221022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7166 (or 7158 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12221022112 its reverse (21122012221), we get a palindrome (33343034333).

The spelling of 12221022112 in words is "twelve billion, two hundred twenty-one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 59 71 104 118 142 208 236 284 416 472 568 767 923 944 1136 1534 1846 1888 2272 3068 3692 4189 6136 7013 7384 8378 12272 14026 14768 16756 24544 28052 29536 33512 54457 56104 67024 91169 108914 112208 134048 182338 217828 224416 364676 413767 435656 497923 729352 827534 871312 995846 1458704 1655068 1742624 1991692 2917408 3310136 3983384 5378971 6472999 6620272 7966768 10757942 12945998 13240544 15933536 21515884 25891996 29377457 43031768 51783992 58754914 86063536 103567984 117509828 172127072 207135968 235019656 381906941 470039312 763813882 940078624 1527627764 3055255528 6110511056 12221022112