12014856000 has 672 divisors, whose sum is σ = 50769438720. Its totient is φ = 2654208000.

The previous prime is 12014855977. The next prime is 12014856001. The reversal of 12014856000 is 65841021.

12014856000 is a `hidden beast` number, since 12 + 0 + 1 + 48 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12014856001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15623616 + ... + 15624384.

It is an arithmetic number, because the mean of its divisors is an integer number (75549760).

Almost surely, 2^12014856000 is an apocalyptic number.

12014856000 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 12014856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25384719360).

12014856000 is an abundant number, since it is smaller than the sum of its proper divisors (38754582720).

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

12014856000 is a wasteful number, since it uses less digits than its factorization.

12014856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 12014856000 in words is "twelve billion, fourteen million, eight hundred fifty-six thousand".