120232002312000 has 672 divisors, whose sum is σ = 442702139536800. Its totient is φ = 31125543321600.

The previous prime is 120232002311987. The next prime is 120232002312007. The reversal of 120232002312000 is 213200232021.

120232002312000 is a `hidden beast` number, since 1 + 2 + 0 + 232 + 0 + 0 + 231 + 200 + 0 = 666.

120232002312000 is digitally balanced in base 3, 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 16 ways, for example, as 88283913986304 + 31948088325696 = 9395952^2 + 5652264^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120232002312007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1196085742 + ... + 1196186258.

Almost surely, 2^{120232002312000} is an apocalyptic number.

120232002312000 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 120232002312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221351069768400).

120232002312000 is an abundant number, since it is smaller than the sum of its proper divisors (322470137224800).

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

120232002312000 is a wasteful number, since it uses less digits than its factorization.

120232002312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101036 (or 101013 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120232002312000 its reverse (213200232021), we get a palindrome (120445202544021).

The spelling of 120232002312000 in words is "one hundred twenty trillion, two hundred thirty-two billion, two million, three hundred twelve thousand".