12033922904640 has 4032 divisors, whose sum is σ = 58901140666368. Its totient is φ = 2307568435200.

The previous prime is 12033922904599. The next prime is 12033922904651. The reversal of 12033922904640 is 4640922933021.

12033922904640 is a `hidden beast` number, since 1 + 20 + 339 + 2 + 290 + 4 + 6 + 4 + 0 = 666.

12033922904640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 26103954010 + ... + 26103954470.

It is an arithmetic number, because the mean of its divisors is an integer number (14608417824).

Almost surely, 2^{12033922904640} is an apocalyptic number.

12033922904640 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 12033922904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29450570333184).

12033922904640 is an abundant number, since it is smaller than the sum of its proper divisors (46867217761728).

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

12033922904640 is a wasteful number, since it uses less digits than its factorization.

12033922904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 12033922904640 in words is "twelve trillion, thirty-three billion, nine hundred twenty-two million, nine hundred four thousand, six hundred forty".