12046106022912 has 528 divisors, whose sum is σ = 39803967403200. Its totient is φ = 3475972030464.

The previous prime is 12046106022707. The next prime is 12046106022931. The reversal of 12046106022912 is 21922060164021.

It is a happy number.

12046106022912 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 6 + 10 + 602 + 29 + 12 = 666.

12046106022912 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576385839 + ... + 576406737.

It is an arithmetic number, because the mean of its divisors is an integer number (75386301900).

Almost surely, 2^{12046106022912} is an apocalyptic number.

12046106022912 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 12046106022912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19901983701600).

12046106022912 is an abundant number, since it is smaller than the sum of its proper divisors (27757861380288).

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

12046106022912 is a wasteful number, since it uses less digits than its factorization.

12046106022912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21238 (or 21217 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 12046106022912 its reverse (21922060164021), we get a palindrome (33968166186933).

The spelling of 12046106022912 in words is "twelve trillion, forty-six billion, one hundred six million, twenty-two thousand, nine hundred twelve".