12145866322392 has 768 divisors, whose sum is σ = 38374751600640. Its totient is φ = 3436836480000.

The previous prime is 12145866322267. The next prime is 12145866322393. The reversal of 12145866322392 is 29322366854121.

12145866322392 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 586 + 6 + 3 + 22 + 39 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12145866322393) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18374986542 + ... + 18374987202.

It is an arithmetic number, because the mean of its divisors is an integer number (49967124480).

Almost surely, 2^{12145866322392} is an apocalyptic number.

12145866322392 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 12145866322392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19187375800320).

12145866322392 is an abundant number, since it is smaller than the sum of its proper divisors (26228885278248).

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

12145866322392 is a wasteful number, since it uses less digits than its factorization.

12145866322392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 989 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 12145866322392 in words is "twelve trillion, one hundred forty-five billion, eight hundred sixty-six million, three hundred twenty-two thousand, three hundred ninety-two".