120168040800 has 144 divisors (see below), whose sum is σ = 400243757760. Its totient is φ = 31299555840.

The previous prime is 120168040799. The next prime is 120168040829. The reversal of 120168040800 is 8040861021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 479010 + ... + 685409.

It is an arithmetic number, because the mean of its divisors is an integer number (2779470540).

Almost surely, 2^120168040800 is an apocalyptic number.

120168040800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120168040800 is an abundant number, since it is smaller than the sum of its proper divisors (280075716960).

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

120168040800 is a wasteful number, since it uses less digits than its factorization.

120168040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164485 (or 1164472 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 120168040800 in words is "one hundred twenty billion, one hundred sixty-eight million, forty thousand, eight hundred".