120774240 has 120 divisors (see below), whose sum is σ = 426278160. Its totient is φ = 32203008.

The previous prime is 120774191. The next prime is 120774257. The reversal of 120774240 is 42477021.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8301 + ... + 17619.

It is an arithmetic number, because the mean of its divisors is an integer number (3552318).

Almost surely, 2^120774240 is an apocalyptic number.

120774240 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 120774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213139080).

120774240 is an abundant number, since it is smaller than the sum of its proper divisors (305503920).

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

120774240 is an equidigital number, since it uses as much as digits as its factorization.

120774240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9346 (or 9329 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 120774240 is about 10989.7333907607. The cubic root of 120774240 is about 494.3009416017.

The spelling of 120774240 in words is "one hundred twenty million, seven hundred seventy-four thousand, two hundred forty".