12133835632800 has 864 divisors, whose sum is σ = 49274438234112. Its totient is φ = 2752233891840.

The previous prime is 12133835632799. The next prime is 12133835632873. The reversal of 12133835632800 is 823653833121.

12133835632800 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 3 + 8 + 3 + 5 + 632 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9283729747 + ... + 9283731053.

It is an arithmetic number, because the mean of its divisors is an integer number (57030599808).

Almost surely, 2^{12133835632800} is an apocalyptic number.

12133835632800 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 12133835632800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24637219117056).

12133835632800 is an abundant number, since it is smaller than the sum of its proper divisors (37140602601312).

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

12133835632800 is a wasteful number, since it uses less digits than its factorization.

12133835632800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 12133835632800 in words is "twelve trillion, one hundred thirty-three billion, eight hundred thirty-five million, six hundred thirty-two thousand, eight hundred".