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12223810560 = 2103513217277
BaseRepresentation
bin10110110001001100…
…01000110000000000
31011112220020220201110
423120212020300000
5200013243414220
65340542403320
7611626450443
oct133046106000
934486226643
1012223810560
115203027885
122451890540
1311ca637800
1483d63b65a
154b822ebe0
hex2d8988c00

12223810560 has 528 divisors, whose sum is σ = 44988081696. Its totient is φ = 2821718016.

The previous prime is 12223810481. The next prime is 12223810633. The reversal of 12223810560 is 6501832221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44129142 + ... + 44129418.

Almost surely, 212223810560 is an apocalyptic number.

12223810560 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 12223810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22494040848).

12223810560 is an abundant number, since it is smaller than the sum of its proper divisors (32764271136).

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

12223810560 is a wasteful number, since it uses less digits than its factorization.

12223810560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 12223810560 in words is "twelve billion, two hundred twenty-three million, eight hundred ten thousand, five hundred sixty".