412000012133000 has 128 divisors (see below), whose sum is σ = 998987850432000. Its totient is φ = 158929882675200.

The previous prime is 412000012132999. The next prime is 412000012133071. The reversal of 412000012133000 is 331210000214.

It is a self number, because there is not a number n which added to its sum of digits gives 412000012133000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57244745 + ... + 64038744.

It is an arithmetic number, because the mean of its divisors is an integer number (7804592581500).

Almost surely, 2^{412000012133000} is an apocalyptic number.

412000012133000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412000012133000 is an abundant number, since it is smaller than the sum of its proper divisors (586987838299000).

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

412000012133000 is a wasteful number, since it uses less digits than its factorization.

412000012133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121283632 (or 121283618 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 412000012133000 its reverse (331210000214), we get a palindrome (412331222133214).

The spelling of 412000012133000 in words is "four hundred twelve trillion, twelve million, one hundred thirty-three thousand".