12426392160 has 1728 divisors, whose sum is σ = 60232273920. Its totient is φ = 2299207680.

The previous prime is 12426392081. The next prime is 12426392221. The reversal of 12426392160 is 6129362421.

It is a happy number.

12426392160 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 639 + 2 + 16 + 0 = 666.

It is a super-2 number, since 2×12426392160² (a number of 21 digits) contains 22 as substring.

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

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, 400851345 + ... + 400851375.

It is an arithmetic number, because the mean of its divisors is an integer number (34856640).

Almost surely, 2^12426392160 is an apocalyptic number.

12426392160 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 12426392160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30116136960).

12426392160 is an abundant number, since it is smaller than the sum of its proper divisors (47805881760).

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

12426392160 is a wasteful number, since it uses less digits than its factorization.

12426392160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12426392160 in words is "twelve billion, four hundred twenty-six million, three hundred ninety-two thousand, one hundred sixty".