12051648000 has 960 divisors, whose sum is σ = 51451171200. Its totient is φ = 2709504000.

The previous prime is 12051647957. The next prime is 12051648013. The reversal of 12051648000 is 84615021.

12051648000 is a `hidden beast` number, since 12 + 0 + 5 + 1 + 648 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

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, 197567970 + ... + 197568030.

It is an arithmetic number, because the mean of its divisors is an integer number (53594970).

Almost surely, 2^12051648000 is an apocalyptic number.

12051648000 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 12051648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25725585600).

12051648000 is an abundant number, since it is smaller than the sum of its proper divisors (39399523200).

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

12051648000 is an frugal number, since it uses more digits than its factorization.

12051648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 78 counting only the distinct ones).

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

The spelling of 12051648000 in words is "twelve billion, fifty-one million, six hundred forty-eight thousand".