120133311313312 has 48 divisors (see below), whose sum is σ = 258028284743712. Its totient is φ = 54602940401920.

The previous prime is 120133311313297. The next prime is 120133311313321. The reversal of 120133311313312 is 213313113331021.

It is a happy number.

It is a super-2 number, since 2×120133311313312² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3524878 + ... + 15896269.

It is an arithmetic number, because the mean of its divisors is an integer number (5375589265494).

Almost surely, 2^{120133311313312} is an apocalyptic number.

It is an amenable number.

120133311313312 is an abundant number, since it is smaller than the sum of its proper divisors (137894973430400).

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

120133311313312 is a wasteful number, since it uses less digits than its factorization.

120133311313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19438741 (or 19438733 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 120133311313312 its reverse (213313113331021), we get a palindrome (333446424644333).

The spelling of 120133311313312 in words is "one hundred twenty trillion, one hundred thirty-three billion, three hundred eleven million, three hundred thirteen thousand, three hundred twelve".