12241592064 has 324 divisors, whose sum is σ = 38658274200. Its totient is φ = 3723632640.

The previous prime is 12241592053. The next prime is 12241592071. The reversal of 12241592064 is 46029514221.

It is a happy number.

12241592064 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 1 + 592 + 0 + 64 = 666.

It is a super-2 number, since 2×12241592064² (a number of 21 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 58016919 + ... + 58017129.

Almost surely, 2^12241592064 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 12241592064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19329137100).

12241592064 is an abundant number, since it is smaller than the sum of its proper divisors (26416682136).

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

12241592064 is a wasteful number, since it uses less digits than its factorization.

12241592064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12241592064 in words is "twelve billion, two hundred forty-one million, five hundred ninety-two thousand, sixty-four".