12009297456 has 120 divisors (see below), whose sum is σ = 36227733360. Its totient is φ = 3691795968.

The previous prime is 12009297451. The next prime is 12009297467. The reversal of 12009297456 is 65479290021.

12009297456 is a `hidden beast` number, since 1 + 20 + 0 + 92 + 97 + 456 = 666.

It is not an unprimeable number, because it can be changed into a prime (12009297451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2729050 + ... + 2733446.

It is an arithmetic number, because the mean of its divisors is an integer number (301897778).

Almost surely, 2^12009297456 is an apocalyptic number.

12009297456 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 12009297456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18113866680).

12009297456 is an abundant number, since it is smaller than the sum of its proper divisors (24218435904).

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

12009297456 is a wasteful number, since it uses less digits than its factorization.

12009297456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 12009297456 in words is "twelve billion, nine million, two hundred ninety-seven thousand, four hundred fifty-six".