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12221623260 = 223257115931487
BaseRepresentation
bin10110110000111011…
…10010101111011100
31011112202010210022100
423120131302233130
5200012213421020
65340423445100
7611602040460
oct133035625734
934482123270
1012221623260
1152018734a0
122450bb6790
1311ca050052
1483d22c4a0
154b7e4ba90
hex2d8772bdc

12221623260 has 288 divisors, whose sum is σ = 46329034752. Its totient is φ = 2533570560.

The previous prime is 12221623243. The next prime is 12221623277. The reversal of 12221623260 is 6232612221.

It is a happy number.

12221623260 is a `hidden beast` number, since 12 + 2 + 2 + 1 + 623 + 26 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12221623243) and next prime (12221623277).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8218237 + ... + 8219723.

It is an arithmetic number, because the mean of its divisors is an integer number (160864704).

Almost surely, 212221623260 is an apocalyptic number.

12221623260 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 12221623260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23164517376).

12221623260 is an abundant number, since it is smaller than the sum of its proper divisors (34107411492).

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

12221623260 is a wasteful number, since it uses less digits than its factorization.

12221623260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 12221623260 in words is "twelve billion, two hundred twenty-one million, six hundred twenty-three thousand, two hundred sixty".