12267884160 has 768 divisors, whose sum is σ = 51325747200. Its totient is φ = 2742128640.

The previous prime is 12267884149. The next prime is 12267884173. The reversal of 12267884160 is 6148876221.

12267884160 is a `hidden beast` number, since 1 + 226 + 7 + 8 + 8 + 416 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64229665 + ... + 64229855.

It is an arithmetic number, because the mean of its divisors is an integer number (66830400).

Almost surely, 2^12267884160 is an apocalyptic number.

12267884160 is a gapful number since it is divisible by the number (10) 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 12267884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25662873600).

12267884160 is an abundant number, since it is smaller than the sum of its proper divisors (39057863040).

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

12267884160 is an equidigital number, since it uses as much as digits as its factorization.

12267884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 12267884160 in words is "twelve billion, two hundred sixty-seven million, eight hundred eighty-four thousand, one hundred sixty".