12120001131000 has 256 divisors, whose sum is σ = 45758607298560. Its totient is φ = 2607327897600.

The previous prime is 12120001130977. The next prime is 12120001131037. The reversal of 12120001131000 is 13110002121.

12120001131000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12120001131000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16617792 + ... + 17331791.

It is an arithmetic number, because the mean of its divisors is an integer number (178744559760).

Almost surely, 2^{12120001131000} is an apocalyptic number.

12120001131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120001131000 is an abundant number, since it is smaller than the sum of its proper divisors (33638606167560).

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

12120001131000 is a wasteful number, since it uses less digits than its factorization.

12120001131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33949631 (or 33949617 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12120001131000 its reverse (13110002121), we get a palindrome (12133111133121).

The spelling of 12120001131000 in words is "twelve trillion, one hundred twenty billion, one million, one hundred thirty-one thousand".