120540896100 has 243 divisors, whose sum is σ = 385590723609. Its totient is φ = 31497076800.

The previous prime is 120540896089. The next prime is 120540896101. The reversal of 120540896100 is 1698045021.

The square root of 120540896100 is 347190.

It is a perfect power (a square), and thus also a powerful number.

120540896100 is a `hidden beast` number, since 1 + 2 + 0 + 540 + 8 + 9 + 6 + 100 = 666.

120540896100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 43394722596 + 77146173504 = 208314^2 + 277752^2 .

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

It is not an unprimeable number, because it can be changed into a prime (120540896101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 739514619 + ... + 739514781.

Almost surely, 2^120540896100 is an apocalyptic number.

120540896100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120540896100 is the 347190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120540896100

120540896100 is an abundant number, since it is smaller than the sum of its proper divisors (265049827509).

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

120540896100 is a wasteful number, since it uses less digits than its factorization.

120540896100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 120540896100 by its sum of digits (36), we get a square (4339472259600 = 2083140²).

120540896100 divided by its sum of digits (36) gives a square (3348358225 = 57865²).

The spelling of 120540896100 in words is "one hundred twenty billion, five hundred forty million, eight hundred ninety-six thousand, one hundred".