120800734096 has 45 divisors (see below), whose sum is σ = 272285834961. Its totient is φ = 51767572416.

The previous prime is 120800734079. The next prime is 120800734099. The reversal of 120800734096 is 690437008021.

The square root of 120800734096 is 347564.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36198867600 + 84601866496 = 190260^2 + 290864^2 .

It is not an unprimeable number, because it can be changed into a prime (120800734099) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9725586 + ... + 9737998.

Almost surely, 2^120800734096 is an apocalyptic number.

120800734096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

120800734096 is the 347564-th square number.

It is an amenable number.

120800734096 is an abundant number, since it is smaller than the sum of its proper divisors (151485100865).

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

120800734096 is an frugal number, since it uses more digits than its factorization.

120800734096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24848 (or 12422 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 120800734096 in words is "one hundred twenty billion, eight hundred million, seven hundred thirty-four thousand, ninety-six".