120803205600 has 2160 divisors, whose sum is σ = 579310921728. Its totient is φ = 23950080000.

The previous prime is 120803205599. The next prime is 120803205619. The reversal of 120803205600 is 6502308021.

120803205600 is a `hidden beast` number, since 1 + 2 + 0 + 80 + 3 + 20 + 560 + 0 = 666.

120803205600 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 (2160).

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 359 ways as a sum of consecutive naturals, for example, 1701453565 + ... + 1701453635.

Almost surely, 2^120803205600 is an apocalyptic number.

120803205600 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 120803205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289655460864).

120803205600 is an abundant number, since it is smaller than the sum of its proper divisors (458507716128).

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

120803205600 is a wasteful number, since it uses less digits than its factorization.

120803205600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 120803205600 in words is "one hundred twenty billion, eight hundred three million, two hundred five thousand, six hundred".