120131200 has 192 divisors, whose sum is σ = 352120320. Its totient is φ = 39628800.

The previous prime is 120131177. The next prime is 120131213. The reversal of 120131200 is 2131021.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 694314 + ... + 694486.

It is an arithmetic number, because the mean of its divisors is an integer number (1833960).

Almost surely, 2^120131200 is an apocalyptic number.

120131200 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 120131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176060160).

120131200 is an abundant number, since it is smaller than the sum of its proper divisors (231989120).

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

120131200 is a wasteful number, since it uses less digits than its factorization.

120131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 120131200 is about 10960.4379474545. The cubic root of 120131200 is about 493.4221088514.

Adding to 120131200 its reverse (2131021), we get a palindrome (122262221).

The spelling of 120131200 in words is "one hundred twenty million, one hundred thirty-one thousand, two hundred".