120285746100 has 108 divisors (see below), whose sum is σ = 406031257996. Its totient is φ = 29608796160.

The previous prime is 120285746083. The next prime is 120285746101. The reversal of 120285746100 is 1647582021.

120285746100 is a `hidden beast` number, since 1 + 2 + 0 + 28 + 574 + 61 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20162864016 + 100122882084 = 141996^2 + 316422^2 .

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 (120285746101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5128717 + ... + 5152116.

Almost surely, 2^120285746100 is an apocalyptic number.

120285746100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120285746100 is an abundant number, since it is smaller than the sum of its proper divisors (285745511896).

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

120285746100 is a wasteful number, since it uses less digits than its factorization.

120285746100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10280866 (or 10280856 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 120285746100 in words is "one hundred twenty billion, two hundred eighty-five million, seven hundred forty-six thousand, one hundred".