12292579274976 has 2304 divisors, whose sum is σ = 51730256793600. Its totient is φ = 2763355668480.

The previous prime is 12292579274939. The next prime is 12292579274981. The reversal of 12292579274976 is 67947297529221.

12292579274976 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 2 + 579 + 2 + 7 + 49 + 7 + 6 = 666.

It is a super-2 number, since 2×12292579274976² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 46739845021 + ... + 46739845283.

It is an arithmetic number, because the mean of its divisors is an integer number (22452368400).

Almost surely, 2^{12292579274976} is an apocalyptic number.

12292579274976 is a gapful number since it is divisible by the number (16) 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 12292579274976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25865128396800).

12292579274976 is an abundant number, since it is smaller than the sum of its proper divisors (39437677518624).

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

12292579274976 is a wasteful number, since it uses less digits than its factorization.

12292579274976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 316 counting only the distinct ones).

The product of its digits is 480090240, while the sum is 72.

The spelling of 12292579274976 in words is "twelve trillion, two hundred ninety-two billion, five hundred seventy-nine million, two hundred seventy-four thousand, nine hundred seventy-six".