12010909305600 has 864 divisors, whose sum is σ = 48241927944000. Its totient is φ = 2910533713920.

The previous prime is 12010909305599. The next prime is 12010909305677. The reversal of 12010909305600 is 650390901021.

12010909305600 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 0 + 9 + 0 + 93 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 85119906 + ... + 85260894.

It is an arithmetic number, because the mean of its divisors is an integer number (55835564750).

Almost surely, 2^{12010909305600} is an apocalyptic number.

12010909305600 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 12010909305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24120963972000).

12010909305600 is an abundant number, since it is smaller than the sum of its proper divisors (36231018638400).

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

12010909305600 is a wasteful number, since it uses less digits than its factorization.

12010909305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141070 (or 141045 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 12010909305600 in words is "twelve trillion, ten billion, nine hundred nine million, three hundred five thousand, six hundred".