12133105210080 has 192 divisors, whose sum is σ = 42473704553280. Its totient is φ = 3234897672192.

The previous prime is 12133105210073. The next prime is 12133105210103. The reversal of 12133105210080 is 8001250133121.

12133105210080 is a `hidden beast` number, since 1 + 2 + 133 + 1 + 0 + 521 + 0 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 23404242 + ... + 23917038.

It is an arithmetic number, because the mean of its divisors is an integer number (221217211215).

Almost surely, 2^{12133105210080} is an apocalyptic number.

12133105210080 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 12133105210080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21236852276640).

12133105210080 is an abundant number, since it is smaller than the sum of its proper divisors (30340599343200).

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

12133105210080 is a wasteful number, since it uses less digits than its factorization.

12133105210080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518298 (or 518284 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 12133105210080 in words is "twelve trillion, one hundred thirty-three billion, one hundred five million, two hundred ten thousand, eighty".