12268640160 has 192 divisors, whose sum is σ = 49074681600. Its totient is φ = 2804253696.

The previous prime is 12268640141. The next prime is 12268640173. The reversal of 12268640160 is 6104686221.

12268640160 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 8 + 640 + 1 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172615 + ... + 233094.

It is an arithmetic number, because the mean of its divisors is an integer number (255597300).

Almost surely, 2^12268640160 is an apocalyptic number.

12268640160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12268640160 is an abundant number, since it is smaller than the sum of its proper divisors (36806041440).

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

12268640160 is a wasteful number, since it uses less digits than its factorization.

12268640160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405740 (or 405726 counting only the distinct ones).

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

The spelling of 12268640160 in words is "twelve billion, two hundred sixty-eight million, six hundred forty thousand, one hundred sixty".