120872400 has 120 divisors (see below), whose sum is σ = 422440224. Its totient is φ = 29299200.

The previous prime is 120872399. The next prime is 120872473. The reversal of 120872400 is 4278021.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×120872400² = 29220274163520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8622 + ... + 17778.

Almost surely, 2^120872400 is an apocalyptic number.

120872400 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 120872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211220112).

120872400 is an abundant number, since it is smaller than the sum of its proper divisors (301567824).

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

120872400 is a wasteful number, since it uses less digits than its factorization.

120872400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9189 (or 9178 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 120872400 is about 10994.1984701023. The cubic root of 120872400 is about 494.4348207060.

The spelling of 120872400 in words is "one hundred twenty million, eight hundred seventy-two thousand, four hundred".