12364177122 has 120 divisors (see below), whose sum is σ = 30531639600. Its totient is φ = 3736996560.

The previous prime is 12364177103. The next prime is 12364177127. The reversal of 12364177122 is 22177146321.

12364177122 is a `hidden beast` number, since 1 + 2 + 3 + 641 + 7 + 7 + 1 + 2 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (12364177127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12133129 + ... + 12134147.

It is an arithmetic number, because the mean of its divisors is an integer number (254430330).

Almost surely, 2^12364177122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12364177122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15265819800).

12364177122 is an abundant number, since it is smaller than the sum of its proper divisors (18167462478).

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

12364177122 is a wasteful number, since it uses less digits than its factorization.

12364177122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1654 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The spelling of 12364177122 in words is "twelve billion, three hundred sixty-four million, one hundred seventy-seven thousand, one hundred twenty-two".