120213331311312 has 60 divisors (see below), whose sum is σ = 336432403644480. Its totient is φ = 40070867586624.

The previous prime is 120213331311301. The next prime is 120213331311329. The reversal of 120213331311312 is 213113133312021.

120213331311312 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 1 + 3 + 3 + 31 + 311 + 312 = 666.

It is a super-2 number, since 2×120213331311312² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22146139 + ... + 27034757.

It is an arithmetic number, because the mean of its divisors is an integer number (5607206727408).

Almost surely, 2^{120213331311312} is an apocalyptic number.

120213331311312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120213331311312 is an abundant number, since it is smaller than the sum of its proper divisors (216219072333168).

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

120213331311312 is a wasteful number, since it uses less digits than its factorization.

120213331311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059400 (or 5059391 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 120213331311312 its reverse (213113133312021), we get a palindrome (333326464623333).

The spelling of 120213331311312 in words is "one hundred twenty trillion, two hundred thirteen billion, three hundred thirty-one million, three hundred eleven thousand, three hundred twelve".