12056616000 has 672 divisors, whose sum is σ = 50711746176. Its totient is φ = 2695680000.

The previous prime is 12056615999. The next prime is 12056616029. The reversal of 12056616000 is 61665021.

It is a happy number.

12056616000 is a `hidden beast` number, since 1 + 2 + 0 + 56 + 6 + 1 + 600 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10295415 + ... + 10296585.

It is an arithmetic number, because the mean of its divisors is an integer number (75463908).

Almost surely, 2^12056616000 is an apocalyptic number.

12056616000 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 12056616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25355873088).

12056616000 is an abundant number, since it is smaller than the sum of its proper divisors (38655130176).

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

12056616000 is a wasteful number, since it uses less digits than its factorization.

12056616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 12056616000 in words is "twelve billion, fifty-six million, six hundred sixteen thousand".