12033579785472 has 648 divisors, whose sum is σ = 41254614116352. Its totient is φ = 3362765414400.

The previous prime is 12033579785419. The next prime is 12033579785477. The reversal of 12033579785472 is 27458797533021.

12033579785472 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 3 + 579 + 7 + 8 + 54 + 7 + 2 = 666.

12033579785472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033579785477) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1017977322 + ... + 1017989142.

Almost surely, 2^{12033579785472} is an apocalyptic number.

12033579785472 is a gapful number since it is divisible by the number (12) 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 12033579785472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20627307058176).

12033579785472 is an abundant number, since it is smaller than the sum of its proper divisors (29221034330880).

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

12033579785472 is a wasteful number, since it uses less digits than its factorization.

12033579785472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12055 (or 12031 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 12033579785472 in words is "twelve trillion, thirty-three billion, five hundred seventy-nine million, seven hundred eighty-five thousand, four hundred seventy-two".