12482791276032 has 2880 divisors, whose sum is σ = 50920113404160. Its totient is φ = 3009871872000.

The previous prime is 12482791276027. The next prime is 12482791276057. The reversal of 12482791276032 is 23067219728421.

12482791276032 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 2 + 7 + 9 + 1 + 27 + 603 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12482791276032.

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, 123591992782 + ... + 123591992882.

It is an arithmetic number, because the mean of its divisors is an integer number (17680594932).

Almost surely, 2^{12482791276032} is an apocalyptic number.

12482791276032 is a gapful number since it is divisible by the number (12) 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 12482791276032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25460056702080).

12482791276032 is an abundant number, since it is smaller than the sum of its proper divisors (38437322128128).

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

12482791276032 is a wasteful number, since it uses less digits than its factorization.

12482791276032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 12482791276032 in words is "twelve trillion, four hundred eighty-two billion, seven hundred ninety-one million, two hundred seventy-six thousand, thirty-two".