120200150332304 has 120 divisors (see below), whose sum is σ = 276705041529600. Its totient is φ = 50422256172288.

The previous prime is 120200150332247. The next prime is 120200150332387. The reversal of 120200150332304 is 403233051002021.

It is a happy number.

It is a super-2 number, since 2×120200150332304² (a number of 29 digits) contains 22 as substring.

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, 959297 + ... + 15534495.

It is an arithmetic number, because the mean of its divisors is an integer number (2305875346080).

Almost surely, 2^{120200150332304} is an apocalyptic number.

120200150332304 is a gapful number since it is divisible by the number (14) 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 120200150332304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138352520764800).

120200150332304 is an abundant number, since it is smaller than the sum of its proper divisors (156504891197296).

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

120200150332304 is a wasteful number, since it uses less digits than its factorization.

120200150332304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14575445 (or 14575432 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The spelling of 120200150332304 in words is "one hundred twenty trillion, two hundred billion, one hundred fifty million, three hundred thirty-two thousand, three hundred four".