12319670160 has 960 divisors, whose sum is σ = 53861552640. Its totient is φ = 2570158080.

The previous prime is 12319670149. The next prime is 12319670161. The reversal of 12319670160 is 6107691321.

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

It is not an unprimeable number, because it can be changed into a prime (12319670161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73770397 + ... + 73770563.

It is an arithmetic number, because the mean of its divisors is an integer number (56105784).

Almost surely, 2^12319670160 is an apocalyptic number.

12319670160 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 12319670160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26930776320).

12319670160 is an abundant number, since it is smaller than the sum of its proper divisors (41541882480).

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

12319670160 is a wasteful number, since it uses less digits than its factorization.

12319670160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 12319670160 in words is "twelve billion, three hundred nineteen million, six hundred seventy thousand, one hundred sixty".