12031061090724 has 405 divisors, whose sum is σ = 34767564250419. Its totient is φ = 3641178640320.

The previous prime is 12031061090717. The next prime is 12031061090767. The reversal of 12031061090724 is 42709016013021.

The square root of 12031061090724 is 3468582.

It is a perfect power (a square), and thus also a powerful number.

12031061090724 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 10 + 610 + 9 + 0 + 7 + 24 = 666.

12031061090724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8460593864100 + 3570467226624 = 2908710^2 + 1889568^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 197230509654 + ... + 197230509714.

Almost surely, 2^{12031061090724} is an apocalyptic number.

12031061090724 is the 3468582-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12031061090724

12031061090724 is an abundant number, since it is smaller than the sum of its proper divisors (22736503159695).

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

12031061090724 is an frugal number, since it uses more digits than its factorization.

12031061090724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 12031061090724 by its sum of digits (36), we get a square (433118199266064 = 20811492²).

12031061090724 divided by its sum of digits (36) gives a square (334196141409 = 578097²).

The spelling of 12031061090724 in words is "twelve trillion, thirty-one billion, sixty-one million, ninety thousand, seven hundred twenty-four".