12133401014000 has 160 divisors (see below), whose sum is σ = 33538468733952. Its totient is φ = 4158946080000.

The previous prime is 12133401013999. The next prime is 12133401014051. The reversal of 12133401014000 is 41010433121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 54923765 + ... + 55144235.

Almost surely, 2^{12133401014000} is an apocalyptic number.

12133401014000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133401014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16769234366976).

12133401014000 is an abundant number, since it is smaller than the sum of its proper divisors (21405067719952).

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

12133401014000 is a wasteful number, since it uses less digits than its factorization.

12133401014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224432 (or 224416 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12133401014000 its reverse (41010433121), we get a palindrome (12174411447121).

The spelling of 12133401014000 in words is "twelve trillion, one hundred thirty-three billion, four hundred one million, fourteen thousand".