12092961024 has 243 divisors, whose sum is σ = 36573641013. Its totient is φ = 3842721792.

The previous prime is 12092961017. The next prime is 12092961031. The reversal of 12092961024 is 42016929021.

The square root of 12092961024 is 109968.

It is a perfect power (a square), and thus also a powerful number.

12092961024 is a `hidden beast` number, since 12 + 0 + 9 + 2 + 9 + 610 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (12092961017) and next prime (12092961031).

It can be written as a sum of positive squares in only one way, i.e., 6341255424 + 5751705600 = 79632^2 + 75840^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 12092961024.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 153075417 + ... + 153075495.

Almost surely, 2^12092961024 is an apocalyptic number.

12092961024 is the 109968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12092961024

12092961024 is an abundant number, since it is smaller than the sum of its proper divisors (24480679989).

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

12092961024 is an frugal number, since it uses more digits than its factorization.

12092961024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 12092961024 by its sum of digits (36), we get a square (435346596864 = 659808²).

12092961024 divided by its sum of digits (36) gives a square (335915584 = 18328²).

The spelling of 12092961024 in words is "twelve billion, ninety-two million, nine hundred sixty-one thousand, twenty-four".