12407127223392 has 1728 divisors, whose sum is σ = 44481791208960. Its totient is φ = 3334286592000.

The previous prime is 12407127223367. The next prime is 12407127223417. The reversal of 12407127223392 is 29332272170421.

12407127223392 is a `hidden beast` number, since 1 + 2 + 40 + 7 + 1 + 272 + 2 + 339 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12407127223367) and next prime (12407127223417).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 174748270717 + ... + 174748270787.

It is an arithmetic number, because the mean of its divisors is an integer number (25741777320).

Almost surely, 2^{12407127223392} is an apocalyptic number.

12407127223392 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 12407127223392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22240895604480).

12407127223392 is an abundant number, since it is smaller than the sum of its proper divisors (32074663985568).

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

12407127223392 is a wasteful number, since it uses less digits than its factorization.

12407127223392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 12407127223392 in words is "twelve trillion, four hundred seven billion, one hundred twenty-seven million, two hundred twenty-three thousand, three hundred ninety-two".