120131102113200 has 360 divisors, whose sum is σ = 435412447407600. Its totient is φ = 30640858122240.

The previous prime is 120131102113199. The next prime is 120131102113219. The reversal of 120131102113200 is 2311201131021.

120131102113200 is a `hidden beast` number, since 1 + 2 + 0 + 131 + 1 + 0 + 211 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×120131102113200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 215706 + ... + 15501894.

Almost surely, 2^{120131102113200} is an apocalyptic number.

120131102113200 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 120131102113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217706223703800).

120131102113200 is an abundant number, since it is smaller than the sum of its proper divisors (315281345294400).

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

120131102113200 is a wasteful number, since it uses less digits than its factorization.

120131102113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15286309 (or 15286295 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 120131102113200 its reverse (2311201131021), we get a palindrome (122442303244221).

The spelling of 120131102113200 in words is "one hundred twenty trillion, one hundred thirty-one billion, one hundred two million, one hundred thirteen thousand, two hundred".