120874428900 has 135 divisors (see below), whose sum is σ = 391928602681. Its totient is φ = 32224836960.

The previous prime is 120874428889. The next prime is 120874428911. The reversal of 120874428900 is 9824478021.

The square root of 120874428900 is 347670.

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

120874428900 is a `hidden beast` number, since 120 + 8 + 7 + 442 + 89 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120874428889) and next prime (120874428911).

It can be written as a sum of positive squares in only one way, i.e., 43514794404 + 77359634496 = 208602^2 + 278136^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×120874428900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 31288369 + ... + 31292231.

Almost surely, 2^120874428900 is an apocalyptic number.

120874428900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120874428900 is the 347670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120874428900

120874428900 is an abundant number, since it is smaller than the sum of its proper divisors (271054173781).

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

120874428900 is an frugal number, since it uses more digits than its factorization.

120874428900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7752 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 120874428900 in words is "one hundred twenty billion, eight hundred seventy-four million, four hundred twenty-eight thousand, nine hundred".