120795901200 has 360 divisors, whose sum is σ = 452489663808. Its totient is φ = 29665336320.

The previous prime is 120795901189. The next prime is 120795901231. The reversal of 120795901200 is 2109597021.

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

It is a super-2 number, since 2×120795901200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 21852837 + ... + 21858363.

Almost surely, 2^120795901200 is an apocalyptic number.

120795901200 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 120795901200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226244831904).

120795901200 is an abundant number, since it is smaller than the sum of its proper divisors (331693762608).

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

120795901200 is a wasteful number, since it uses less digits than its factorization.

120795901200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6031 (or 6017 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 120795901200 in words is "one hundred twenty billion, seven hundred ninety-five million, nine hundred one thousand, two hundred".