120606400 has 84 divisors (see below), whose sum is σ = 303841912. Its totient is φ = 47093760.

The previous prime is 120606397. The next prime is 120606401. The reversal of 120606400 is 4606021.

It is not an unprimeable number, because it can be changed into a prime (120606401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67924 + ... + 69676.

Almost surely, 2^120606400 is an apocalyptic number.

120606400 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 120606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151920956).

120606400 is an abundant number, since it is smaller than the sum of its proper divisors (183235512).

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

120606400 is a wasteful number, since it uses less digits than its factorization.

120606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 120606400 is about 10982.0945178959. The cubic root of 120606400 is about 494.0718587245.

The spelling of 120606400 in words is "one hundred twenty million, six hundred six thousand, four hundred".