12981526272000 has 3456 divisors, whose sum is σ = 58187497193280. Its totient is φ = 2742681600000.

The previous prime is 12981526271999. The next prime is 12981526272019. The reversal of 12981526272000 is 27262518921.

12981526272000 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 15 + 2 + 627 + 2 + 0 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 316622591980 + ... + 316622592020.

Almost surely, 2^{12981526272000} is an apocalyptic number.

12981526272000 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 12981526272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29093748596640).

12981526272000 is an abundant number, since it is smaller than the sum of its proper divisors (45205970921280).

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

12981526272000 is a wasteful number, since it uses less digits than its factorization.

12981526272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

It can be divided in two parts, 12981526 and 272000, that added together give a triangular number (13253526 = T₅₁₄₈).

The spelling of 12981526272000 in words is "twelve trillion, nine hundred eighty-one billion, five hundred twenty-six million, two hundred seventy-two thousand".