120133332113300 has 144 divisors (see below), whose sum is σ = 301126441674240. Its totient is φ = 41113873920000.

The previous prime is 120133332113299. The next prime is 120133332113359. The reversal of 120133332113300 is 3311233331021.

It is a self number, because there is not a number n which added to its sum of digits gives 120133332113300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754484096 + ... + 754643304.

It is an arithmetic number, because the mean of its divisors is an integer number (2091155844960).

Almost surely, 2^{120133332113300} is an apocalyptic number.

120133332113300 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 120133332113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150563220837120).

120133332113300 is an abundant number, since it is smaller than the sum of its proper divisors (180993109560940).

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

120133332113300 is a wasteful number, since it uses less digits than its factorization.

120133332113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199602 (or 199595 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 120133332113300 its reverse (3311233331021), we get a palindrome (123444565444321).

The spelling of 120133332113300 in words is "one hundred twenty trillion, one hundred thirty-three billion, three hundred thirty-two million, one hundred thirteen thousand, three hundred".