120936900 has 216 divisors, whose sum is σ = 429451680. Its totient is φ = 26127360.

The previous prime is 120936899. The next prime is 120936947. The reversal of 120936900 is 9639021.

It is a super-2 number, since 2×120936900² = 29251467563220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 279084 + ... + 279516.

Almost surely, 2^120936900 is an apocalyptic number.

120936900 is a gapful number since it is divisible by the number (10) 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 120936900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214725840).

120936900 is an abundant number, since it is smaller than the sum of its proper divisors (308514780).

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

120936900 is a wasteful number, since it uses less digits than its factorization.

120936900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 120936900 is about 10997.1314441540. The cubic root of 120936900 is about 494.5227519323.

The spelling of 120936900 in words is "one hundred twenty million, nine hundred thirty-six thousand, nine hundred".