12133106624080 has 480 divisors, whose sum is σ = 32765556084480. Its totient is φ = 4166950993920.

The previous prime is 12133106624063. The next prime is 12133106624101. The reversal of 12133106624080 is 8042660133121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1688198247 + ... + 1688205433.

It is an arithmetic number, because the mean of its divisors is an integer number (68261575176).

Almost surely, 2^{12133106624080} is an apocalyptic number.

12133106624080 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 12133106624080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16382778042240).

12133106624080 is an abundant number, since it is smaller than the sum of its proper divisors (20632449460400).

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

12133106624080 is a wasteful number, since it uses less digits than its factorization.

12133106624080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7399 (or 7380 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 12133106624080 in words is "twelve trillion, one hundred thirty-three billion, one hundred six million, six hundred twenty-four thousand, eighty".