120405288012 has 12 divisors (see below), whose sum is σ = 280945672056. Its totient is φ = 40135096000.

The previous prime is 120405287971. The next prime is 120405288061. The reversal of 120405288012 is 210882504021.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5016886989 + ... + 5016887012.

It is an arithmetic number, because the mean of its divisors is an integer number (23412139338).

Almost surely, 2^120405288012 is an apocalyptic number.

120405288012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120405288012 is an abundant number, since it is smaller than the sum of its proper divisors (160540384044).

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

120405288012 is a wasteful number, since it uses less digits than its factorization.

120405288012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10033774008 (or 10033774006 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The spelling of 120405288012 in words is "one hundred twenty billion, four hundred five million, two hundred eighty-eight thousand, twelve".