12050950464000 has 1920 divisors, whose sum is σ = 53559673390080. Its totient is φ = 2543321088000.

The previous prime is 12050950463999. The next prime is 12050950464031. The reversal of 12050950464000 is 46405905021.

12050950464000 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 0 + 9 + 5 + 0 + 4 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2689341760 + ... + 2689346240.

It is an arithmetic number, because the mean of its divisors is an integer number (27895663224).

Almost surely, 2^{12050950464000} is an apocalyptic number.

12050950464000 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 12050950464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26779836695040).

12050950464000 is an abundant number, since it is smaller than the sum of its proper divisors (41508722926080).

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

12050950464000 is a wasteful number, since it uses less digits than its factorization.

12050950464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12050950464000 in words is "twelve trillion, fifty billion, nine hundred fifty million, four hundred sixty-four thousand".