120505400 has 48 divisors (see below), whose sum is σ = 280997640. Its totient is φ = 48060800.

The previous prime is 120505387. The next prime is 120505417. The reversal of 120505400 is 4505021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91547 + ... + 92853.

Almost surely, 2^120505400 is an apocalyptic number.

120505400 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 120505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140498820).

120505400 is an abundant number, since it is smaller than the sum of its proper divisors (160492240).

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

120505400 is a wasteful number, since it uses less digits than its factorization.

120505400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 120505400 is about 10977.4951605546. The cubic root of 120505400 is about 493.9339025466.

The spelling of 120505400 in words is "one hundred twenty million, five hundred five thousand, four hundred".