12290426778168 has 448 divisors, whose sum is σ = 45343816761600. Its totient is φ = 3024299773440.

The previous prime is 12290426778167. The next prime is 12290426778193. The reversal of 12290426778168 is 86187762409221.

It is a happy number.

12290426778168 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 0 + 426 + 77 + 81 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12290426778167) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7811980 + ... + 9252452.

It is an arithmetic number, because the mean of its divisors is an integer number (101213876700).

Almost surely, 2^{12290426778168} is an apocalyptic number.

12290426778168 is a gapful number since it is divisible by the number (18) 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 12290426778168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22671908380800).

12290426778168 is an abundant number, since it is smaller than the sum of its proper divisors (33053389983432).

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

12290426778168 is a wasteful number, since it uses less digits than its factorization.

12290426778168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440534 (or 1440515 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 12290426778168 in words is "twelve trillion, two hundred ninety billion, four hundred twenty-six million, seven hundred seventy-eight thousand, one hundred sixty-eight".