120121600 has 81 divisors (see below), whose sum is σ = 299505787. Its totient is φ = 47697920.

The previous prime is 120121537. The next prime is 120121601. The reversal of 120121600 is 6121021.

The square root of 120121600 is 10960.

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

It can be written as a sum of positive squares in 4 ways, for example, as 350464 + 119771136 = 592^2 + 10944^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120121601) 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, 876732 + ... + 876868.

Almost surely, 2^120121600 is an apocalyptic number.

120121600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120121600 is the 10960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120121600

120121600 is an abundant number, since it is smaller than the sum of its proper divisors (179384187).

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

120121600 is an frugal number, since it uses more digits than its factorization.

120121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The cubic root of 120121600 is about 493.4089649486.

Adding to 120121600 its reverse (6121021), we get a palindrome (126242621).

It can be divided in two parts, 1201 and 21600, that added together give a square (22801 = 151²).

The spelling of 120121600 in words is "one hundred twenty million, one hundred twenty-one thousand, six hundred".