12031086010944 has 1792 divisors, whose sum is σ = 46029719715840. Its totient is φ = 2672044277760.

The previous prime is 12031086010913. The next prime is 12031086010963. The reversal of 12031086010944 is 44901068013021.

It is a super-2 number, since 2×12031086010944² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20851101984 + ... + 20851102560.

It is an arithmetic number, because the mean of its divisors is an integer number (25686227520).

Almost surely, 2^{12031086010944} is an apocalyptic number.

12031086010944 is a gapful number since it is divisible by the number (14) 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 12031086010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23014859857920).

12031086010944 is an abundant number, since it is smaller than the sum of its proper divisors (33998633704896).

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

12031086010944 is a wasteful number, since it uses less digits than its factorization.

12031086010944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 12031086010944 in words is "twelve trillion, thirty-one billion, eighty-six million, ten thousand, nine hundred forty-four".