12031566630720 has 896 divisors, whose sum is σ = 49139463905280. Its totient is φ = 2424216453120.

The previous prime is 12031566630701. The next prime is 12031566630737. The reversal of 12031566630720 is 2703666513021.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1328129551 + ... + 1328138609.

It is an arithmetic number, because the mean of its divisors is an integer number (54843151680).

Almost surely, 2^{12031566630720} is an apocalyptic number.

12031566630720 is a gapful number since it is divisible by the number (10) 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 12031566630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24569731952640).

12031566630720 is an abundant number, since it is smaller than the sum of its proper divisors (37107897274560).

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

12031566630720 is a wasteful number, since it uses less digits than its factorization.

12031566630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9783 (or 9773 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 12031566630720 in words is "twelve trillion, thirty-one billion, five hundred sixty-six million, six hundred thirty thousand, seven hundred twenty".