12256137216 has 520 divisors, whose sum is σ = 40461115464. Its totient is φ = 3680501760.

The previous prime is 12256137191. The next prime is 12256137227. The reversal of 12256137216 is 61273165221.

12256137216 is a `hidden beast` number, since 1 + 2 + 25 + 613 + 7 + 2 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1625702400 + 10630434816 = 40320^2 + 103104^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 231247846 + ... + 231247898.

Almost surely, 2^12256137216 is an apocalyptic number.

12256137216 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 12256137216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20230557732).

12256137216 is an abundant number, since it is smaller than the sum of its proper divisors (28204978248).

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

12256137216 is an equidigital number, since it uses as much as digits as its factorization.

12256137216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 116 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The spelling of 12256137216 in words is "twelve billion, two hundred fifty-six million, one hundred thirty-seven thousand, two hundred sixteen".