12130874496 has 256 divisors, whose sum is σ = 38784480000. Its totient is φ = 3710582784.

The previous prime is 12130874449. The next prime is 12130874533. The reversal of 12130874496 is 69447803121.

12130874496 is a `hidden beast` number, since 121 + 3 + 0 + 87 + 449 + 6 = 666.

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, 8670405 + ... + 8671803.

It is an arithmetic number, because the mean of its divisors is an integer number (151501875).

Almost surely, 2^12130874496 is an apocalyptic number.

12130874496 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 12130874496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19392240000).

12130874496 is an abundant number, since it is smaller than the sum of its proper divisors (26653605504).

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

12130874496 is a wasteful number, since it uses less digits than its factorization.

12130874496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12130874496 in words is "twelve billion, one hundred thirty million, eight hundred seventy-four thousand, four hundred ninety-six".