120033210311312 has 80 divisors (see below), whose sum is σ = 247052317818240. Its totient is φ = 56301149988864.

The previous prime is 120033210311281. The next prime is 120033210311351. The reversal of 120033210311312 is 213113012330021.

120033210311312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120033210311312² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142009523 + ... + 142852269.

It is an arithmetic number, because the mean of its divisors is an integer number (3088153972728).

Almost surely, 2^{120033210311312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120033210311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123526158909120).

120033210311312 is an abundant number, since it is smaller than the sum of its proper divisors (127019107506928).

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

120033210311312 is a wasteful number, since it uses less digits than its factorization.

120033210311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844488 (or 844482 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 120033210311312 its reverse (213113012330021), we get a palindrome (333146222641333).

The spelling of 120033210311312 in words is "one hundred twenty trillion, thirty-three billion, two hundred ten million, three hundred eleven thousand, three hundred twelve".