120110764900 has 81 divisors (see below), whose sum is σ = 303255139257. Its totient is φ = 41172516000.

The previous prime is 120110764889. The next prime is 120110764927. The reversal of 120110764900 is 9467011021.

The square root of 120110764900 is 346570.

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., 43239875364 + 76870889536 = 207942^2 + 277256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24257425 + ... + 24262375.

Almost surely, 2^120110764900 is an apocalyptic number.

120110764900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120110764900 is the 346570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120110764900

120110764900 is an abundant number, since it is smaller than the sum of its proper divisors (183144374357).

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

120110764900 is an frugal number, since it uses more digits than its factorization.

120110764900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9930 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

Adding to 120110764900 its reverse (9467011021), we get a palindrome (129577775921).

The spelling of 120110764900 in words is "one hundred twenty billion, one hundred ten million, seven hundred sixty-four thousand, nine hundred".