12267859968 has 832 divisors, whose sum is σ = 47557601280. Its totient is φ = 3036413952.

The previous prime is 12267859963. The next prime is 12267859969. The reversal of 12267859968 is 86995876221.

12267859968 is a `hidden beast` number, since 12 + 26 + 7 + 8 + 599 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×12267859968² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12267859963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231469030 + ... + 231469082.

Almost surely, 2^12267859968 is an apocalyptic number.

12267859968 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 12267859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23778800640).

12267859968 is an abundant number, since it is smaller than the sum of its proper divisors (35289741312).

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

12267859968 is a wasteful number, since it uses less digits than its factorization.

12267859968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 12267859968 in words is "twelve billion, two hundred sixty-seven million, eight hundred fifty-nine thousand, nine hundred sixty-eight".