12233185536000 has 3072 divisors, whose sum is σ = 51926560358400. Its totient is φ = 2513043456000.

The previous prime is 12233185535981. The next prime is 12233185536073. The reversal of 12233185536000 is 63558133221.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 12233185536000.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 73252607917 + ... + 73252608083.

It is an arithmetic number, because the mean of its divisors is an integer number (16903177200).

Almost surely, 2^{12233185536000} is an apocalyptic number.

12233185536000 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 12233185536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25963280179200).

12233185536000 is an abundant number, since it is smaller than the sum of its proper divisors (39693374822400).

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

12233185536000 is a wasteful number, since it uses less digits than its factorization.

12233185536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 12233185536000 in words is "twelve trillion, two hundred thirty-three billion, one hundred eighty-five million, five hundred thirty-six thousand".