12264142968 has 288 divisors, whose sum is σ = 42754158720. Its totient is φ = 3139920000.

The previous prime is 12264142931. The next prime is 12264142981. The reversal of 12264142968 is 86924146221.

It is a happy number.

12264142968 is a `hidden beast` number, since 1 + 226 + 414 + 2 + 9 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2753143 + ... + 2757593.

It is an arithmetic number, because the mean of its divisors is an integer number (148451940).

Almost surely, 2^12264142968 is an apocalyptic number.

12264142968 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 12264142968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21377079360).

12264142968 is an abundant number, since it is smaller than the sum of its proper divisors (30490015752).

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

12264142968 is a wasteful number, since it uses less digits than its factorization.

12264142968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4559 (or 4545 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 12264142968 in words is "twelve billion, two hundred sixty-four million, one hundred forty-two thousand, nine hundred sixty-eight".