12240668160 has 560 divisors, whose sum is σ = 50343090336. Its totient is φ = 2794881024.

The previous prime is 12240668147. The next prime is 12240668171. The reversal of 12240668160 is 6186604221.

It is a tau number, because it is divible by the number of its divisors (560).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13063212 + ... + 13064148.

Almost surely, 2^12240668160 is an apocalyptic number.

12240668160 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 12240668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25171545168).

12240668160 is an abundant number, since it is smaller than the sum of its proper divisors (38102422176).

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

12240668160 is an frugal number, since it uses more digits than its factorization.

12240668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12240668160 in words is "twelve billion, two hundred forty million, six hundred sixty-eight thousand, one hundred sixty".