120648600 has 144 divisors (see below), whose sum is σ = 409947720. Its totient is φ = 31795200.

The previous prime is 120648589. The next prime is 120648607. The reversal of 120648600 is 6846021.

120648600 is a `hidden beast` number, since 12 + 0 + 6 + 48 + 600 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120648607) 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, 174255 + ... + 174945.

Almost surely, 2^120648600 is an apocalyptic number.

120648600 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 120648600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204973860).

120648600 is an abundant number, since it is smaller than the sum of its proper divisors (289299120).

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

120648600 is a wasteful number, since it uses less digits than its factorization.

120648600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 120648600 is about 10984.0156591294. The cubic root of 120648600 is about 494.1294770077.

The spelling of 120648600 in words is "one hundred twenty million, six hundred forty-eight thousand, six hundred".