120614400 has 240 divisors, whose sum is σ = 443982000. Its totient is φ = 32071680.

The previous prime is 120614381. The next prime is 120614401. The reversal of 120614400 is 4416021.

120614400 is a `hidden beast` number, since 12 + 0 + 614 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120614401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345426 + ... + 345774.

It is an arithmetic number, because the mean of its divisors is an integer number (1849925).

Almost surely, 2^120614400 is an apocalyptic number.

120614400 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 120614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221991000).

120614400 is an abundant number, since it is smaller than the sum of its proper divisors (323367600).

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

120614400 is an equidigital number, since it uses as much as digits as its factorization.

120614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120614400 is about 10982.4587411016. The cubic root of 120614400 is about 494.0827826541.

It can be divided in two parts, 12061 and 4400, that added together give a palindrome (16461).

The spelling of 120614400 in words is "one hundred twenty million, six hundred fourteen thousand, four hundred".