12251113056 has 768 divisors, whose sum is σ = 47416320000. Its totient is φ = 2987476992.

The previous prime is 12251113033. The next prime is 12251113073. The reversal of 12251113056 is 65031115221.

12251113056 is a `hidden beast` number, since 12 + 2 + 511 + 130 + 5 + 6 = 666.

It is a super-2 number, since 2×12251113056² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88137435 + ... + 88137573.

It is an arithmetic number, because the mean of its divisors is an integer number (61740000).

Almost surely, 2^12251113056 is an apocalyptic number.

12251113056 is a gapful number since it is divisible by the number (16) 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 12251113056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23708160000).

12251113056 is an abundant number, since it is smaller than the sum of its proper divisors (35165206944).

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

12251113056 is a wasteful number, since it uses less digits than its factorization.

12251113056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 12251113056 its reverse (65031115221), we get a palindrome (77282228277).

The spelling of 12251113056 in words is "twelve billion, two hundred fifty-one million, one hundred thirteen thousand, fifty-six".