120013233003300 has 288 divisors, whose sum is σ = 427400962143232. Its totient is φ = 25319650705920.

The previous prime is 120013233003299. The next prime is 120013233003331. The reversal of 120013233003300 is 3300332310021.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 397418967 + ... + 397720833.

Almost surely, 2^{120013233003300} is an apocalyptic number.

120013233003300 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 120013233003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213700481071616).

120013233003300 is an abundant number, since it is smaller than the sum of its proper divisors (307387729139932).

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

120013233003300 is a wasteful number, since it uses less digits than its factorization.

120013233003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316467 (or 316460 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 120013233003300 its reverse (3300332310021), we get a palindrome (123313565313321).

The spelling of 120013233003300 in words is "one hundred twenty trillion, thirteen billion, two hundred thirty-three million, three thousand, three hundred".