12140920846080 has 2160 divisors, whose sum is σ = 49264560553824. Its totient is φ = 2850778644480.

The previous prime is 12140920846051. The next prime is 12140920846123. The reversal of 12140920846080 is 8064802904121.

12140920846080 is a `hidden beast` number, since 1 + 2 + 14 + 0 + 9 + 20 + 8 + 4 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 39546973287 + ... + 39546973593.

Almost surely, 2^{12140920846080} is an apocalyptic number.

12140920846080 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 12140920846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24632280276912).

12140920846080 is an abundant number, since it is smaller than the sum of its proper divisors (37123639707744).

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

12140920846080 is a wasteful number, since it uses less digits than its factorization.

12140920846080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 12140920846080 in words is "twelve trillion, one hundred forty billion, nine hundred twenty million, eight hundred forty-six thousand, eighty".