120331213002000 has 1920 divisors, whose sum is σ = 579541984939008. Its totient is φ = 22456590336000.

The previous prime is 120331213001999. The next prime is 120331213002023. The reversal of 120331213002000 is 200312133021.

120331213002000 is a `hidden beast` number, since 1 + 2 + 0 + 331 + 2 + 130 + 0 + 200 + 0 = 666.

120331213002000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 666575752 + ... + 666756248.

Almost surely, 2^{120331213002000} is an apocalyptic number.

120331213002000 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 120331213002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289770992469504).

120331213002000 is an abundant number, since it is smaller than the sum of its proper divisors (459210771937008).

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

120331213002000 is a wasteful number, since it uses less digits than its factorization.

120331213002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180594 (or 180575 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120331213002000 its reverse (200312133021), we get a palindrome (120531525135021).

The spelling of 120331213002000 in words is "one hundred twenty trillion, three hundred thirty-one billion, two hundred thirteen million, two thousand".