12133477785600 has 1008 divisors, whose sum is σ = 44494550380800. Its totient is φ = 3159710760960.

The previous prime is 12133477785467. The next prime is 12133477785623. The reversal of 12133477785600 is 658777433121.

12133477785600 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 3 + 4 + 7 + 7 + 78 + 560 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14998117996 + ... + 14998118804.

Almost surely, 2^{12133477785600} is an apocalyptic number.

12133477785600 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 12133477785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22247275190400).

12133477785600 is an abundant number, since it is smaller than the sum of its proper divisors (32361072595200).

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

12133477785600 is a wasteful number, since it uses less digits than its factorization.

12133477785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 12133477785600 in words is "twelve trillion, one hundred thirty-three billion, four hundred seventy-seven million, seven hundred eighty-five thousand, six hundred".