12975024142080 has 3456 divisors, whose sum is σ = 64465546070016. Its totient is φ = 2338038743040.

The previous prime is 12975024142037. The next prime is 12975024142121. The reversal of 12975024142080 is 8024142057921.

12975024142080 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 502 + 41 + 4 + 20 + 80 = 666.

It is a super-3 number, since 3×12975024142080³ (a number of 40 digits) contains 333 as substring.

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 383 ways as a sum of consecutive naturals, for example, 23720336367 + ... + 23720336913.

It is an arithmetic number, because the mean of its divisors is an integer number (18653225136).

Almost surely, 2^{12975024142080} is an apocalyptic number.

12975024142080 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 12975024142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32232773035008).

12975024142080 is an abundant number, since it is smaller than the sum of its proper divisors (51490521927936).

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

12975024142080 is a wasteful number, since it uses less digits than its factorization.

12975024142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12975024142080 in words is "twelve trillion, nine hundred seventy-five billion, twenty-four million, one hundred forty-two thousand, eighty".