120774600 has 144 divisors (see below), whose sum is σ = 408762900. Its totient is φ = 31956480.

The previous prime is 120774559. The next prime is 120774601. The reversal of 120774600 is 6477021.

It can be written as a sum of positive squares in 6 ways, for example, as 103184964 + 17589636 = 10158^2 + 4194^2 .

It is not an unprimeable number, because it can be changed into a prime (120774601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 412054 + ... + 412346.

Almost surely, 2^120774600 is an apocalyptic number.

120774600 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 120774600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204381450).

120774600 is an abundant number, since it is smaller than the sum of its proper divisors (287988300).

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

120774600 is a wasteful number, since it uses less digits than its factorization.

120774600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 120774600 is about 10989.7497696717. The cubic root of 120774600 is about 494.3014327334.

The spelling of 120774600 in words is "one hundred twenty million, seven hundred seventy-four thousand, six hundred".