120605385600 has 1152 divisors, whose sum is σ = 520401960000. Its totient is φ = 26553139200.

The previous prime is 120605385581. The next prime is 120605385601. The reversal of 120605385600 is 6583506021.

120605385600 is a `hidden beast` number, since 1 + 2 + 0 + 60 + 5 + 38 + 560 + 0 = 666.

120605385600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120605385601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 286473390 + ... + 286473810.

Almost surely, 2^120605385600 is an apocalyptic number.

120605385600 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 120605385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260200980000).

120605385600 is an abundant number, since it is smaller than the sum of its proper divisors (399796574400).

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

120605385600 is a wasteful number, since it uses less digits than its factorization.

120605385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 120605385600 in words is "one hundred twenty billion, six hundred five million, three hundred eighty-five thousand, six hundred".