120646400 has 108 divisors (see below), whose sum is σ = 341405232. Its totient is φ = 41349120.

The previous prime is 120646397. The next prime is 120646453. The reversal of 120646400 is 4646021.

It is a happy number.

It is an unprimeable number.

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, 43454 + ... + 46146.

Almost surely, 2^120646400 is an apocalyptic number.

120646400 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 120646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170702616).

120646400 is an abundant number, since it is smaller than the sum of its proper divisors (220758832).

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

120646400 is an equidigital number, since it uses as much as digits as its factorization.

120646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 120646400 is about 10983.9155131492. The cubic root of 120646400 is about 494.1264735429.

The spelling of 120646400 in words is "one hundred twenty million, six hundred forty-six thousand, four hundred".