12524114331072 has 224 divisors, whose sum is σ = 37035943200000. Its totient is φ = 4150073428992.

The previous prime is 12524114331041. The next prime is 12524114331073. The reversal of 12524114331072 is 27013341142521.

12524114331072 is a `hidden beast` number, since 1 + 2 + 5 + 241 + 14 + 331 + 0 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12524114331073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1815348679 + ... + 1815355577.

Almost surely, 2^{12524114331072} is an apocalyptic number.

12524114331072 is a gapful number since it is divisible by the number (12) 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 12524114331072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18517971600000).

12524114331072 is an abundant number, since it is smaller than the sum of its proper divisors (24511828868928).

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

12524114331072 is a wasteful number, since it uses less digits than its factorization.

12524114331072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12968 (or 12952 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 12524114331072 its reverse (27013341142521), we get a palindrome (39537455473593).

The spelling of 12524114331072 in words is "twelve trillion, five hundred twenty-four billion, one hundred fourteen million, three hundred thirty-one thousand, seventy-two".