120041460900 has 81 divisors (see below), whose sum is σ = 376295872771. Its totient is φ = 32008284480.

The previous prime is 120041460839. The next prime is 120041460911. The reversal of 120041460900 is 9064140021.

The square root of 120041460900 is 346470.

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

120041460900 is a `hidden beast` number, since 12 + 0 + 0 + 41 + 4 + 609 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23385138084 + 96656322816 = 152922^2 + 310896^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10388326 + ... + 10399874.

Almost surely, 2^120041460900 is an apocalyptic number.

120041460900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120041460900 is the 346470-th square number.

It is an amenable number.

120041460900 is an abundant number, since it is smaller than the sum of its proper divisors (256254411871).

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

120041460900 is an equidigital number, since it uses as much as digits as its factorization.

120041460900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23118 (or 11559 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 120041460900 in words is "one hundred twenty billion, forty-one million, four hundred sixty thousand, nine hundred".