12226676341392 has 320 divisors, whose sum is σ = 37803032593920. Its totient is φ = 3769506201600.

The previous prime is 12226676341379. The next prime is 12226676341433. The reversal of 12226676341392 is 29314367662221.

12226676341392 is a `hidden beast` number, since 1 + 2 + 2 + 26 + 67 + 63 + 413 + 92 = 666.

It is a super-2 number, since 2×12226676341392² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 516513717 + ... + 516537387.

It is an arithmetic number, because the mean of its divisors is an integer number (118134476856).

Almost surely, 2^{12226676341392} is an apocalyptic number.

12226676341392 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 12226676341392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18901516296960).

12226676341392 is an abundant number, since it is smaller than the sum of its proper divisors (25576356252528).

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

12226676341392 is a wasteful number, since it uses less digits than its factorization.

12226676341392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24919 (or 24907 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 12226676341392 in words is "twelve trillion, two hundred twenty-six billion, six hundred seventy-six million, three hundred forty-one thousand, three hundred ninety-two".