120113313313200 has 120 divisors (see below), whose sum is σ = 390505711624128. Its totient is φ = 31552153923840.

The previous prime is 120113313313183. The next prime is 120113313313229. The reversal of 120113313313200 is 2313313311021.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×120113313313200³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 746892942 + ... + 747053741.

Almost surely, 2^{120113313313200} is an apocalyptic number.

120113313313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120113313313200 is an abundant number, since it is smaller than the sum of its proper divisors (270392398310928).

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

120113313313200 is a wasteful number, since it uses less digits than its factorization.

120113313313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493946771 (or 1493946760 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 120113313313200 its reverse (2313313311021), we get a palindrome (122426626624221).

The spelling of 120113313313200 in words is "one hundred twenty trillion, one hundred thirteen billion, three hundred thirteen million, three hundred thirteen thousand, two hundred".