120331130031000 has 384 divisors, whose sum is σ = 465981219999360. Its totient is φ = 27435663360000.

The previous prime is 120331130030957. The next prime is 120331130031011. The reversal of 120331130031000 is 130031133021.

It is a happy number.

120331130031000 is a `hidden beast` number, since 1 + 2 + 0 + 331 + 1 + 300 + 31 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×120331130031000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22881432 + ... + 27644568.

It is an arithmetic number, because the mean of its divisors is an integer number (1213492760415).

Almost surely, 2^{120331130031000} is an apocalyptic number.

120331130031000 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 120331130031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232990609999680).

120331130031000 is an abundant number, since it is smaller than the sum of its proper divisors (345650089968360).

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

120331130031000 is a wasteful number, since it uses less digits than its factorization.

120331130031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763572 (or 4763555 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 120331130031000 its reverse (130031133021), we get a palindrome (120461161164021).

The spelling of 120331130031000 in words is "one hundred twenty trillion, three hundred thirty-one billion, one hundred thirty million, thirty-one thousand".