12490438132224 has 960 divisors, whose sum is σ = 43368552235008. Its totient is φ = 3557202739200.

The previous prime is 12490438132219. The next prime is 12490438132259. The reversal of 12490438132224 is 42223183409421.

12490438132224 is a `hidden beast` number, since 1 + 2 + 49 + 0 + 4 + 381 + 3 + 2 + 224 = 666.

It is a super-2 number, since 2×12490438132224² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12490438132224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1153206489 + ... + 1153217319.

Almost surely, 2^{12490438132224} 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 12490438132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21684276117504).

12490438132224 is an abundant number, since it is smaller than the sum of its proper divisors (30878114102784).

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

12490438132224 is a wasteful number, since it uses less digits than its factorization.

12490438132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10931 (or 10903 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 12490438132224 in words is "twelve trillion, four hundred ninety billion, four hundred thirty-eight million, one hundred thirty-two thousand, two hundred twenty-four".