12016274560 has 256 divisors, whose sum is σ = 32783616000. Its totient is φ = 4184801280.

The previous prime is 12016274551. The next prime is 12016274563. The reversal of 12016274560 is 6547261021.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (12016274563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7756666 + ... + 7758214.

It is an arithmetic number, because the mean of its divisors is an integer number (128061000).

Almost surely, 2^12016274560 is an apocalyptic number.

12016274560 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 12016274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16391808000).

12016274560 is an abundant number, since it is smaller than the sum of its proper divisors (20767341440).

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

12016274560 is a wasteful number, since it uses less digits than its factorization.

12016274560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 12016274560 in words is "twelve billion, sixteen million, two hundred seventy-four thousand, five hundred sixty".