12126733344 has 192 divisors, whose sum is σ = 39527429760. Its totient is φ = 3585024000.

The previous prime is 12126733321. The next prime is 12126733361. The reversal of 12126733344 is 44333762121.

12126733344 is a `hidden beast` number, since 1 + 21 + 267 + 33 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12126733299 and 12126733308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374104 + ... + 405224.

It is an arithmetic number, because the mean of its divisors is an integer number (205872030).

Almost surely, 2^12126733344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12126733344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19763714880).

12126733344 is an abundant number, since it is smaller than the sum of its proper divisors (27400696416).

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

12126733344 is a wasteful number, since it uses less digits than its factorization.

12126733344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31192 (or 31178 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The spelling of 12126733344 in words is "twelve billion, one hundred twenty-six million, seven hundred thirty-three thousand, three hundred forty-four".