12299960160 has 576 divisors, whose sum is σ = 45649723392. Its totient is φ = 3124832256.

The previous prime is 12299960131. The next prime is 12299960177. The reversal of 12299960160 is 6106999221.

12299960160 is a `hidden beast` number, since 12 + 29 + 9 + 9 + 601 + 6 + 0 = 666.

It is a super-3 number, since 3×12299960160³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

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, 96850017 + ... + 96850143.

It is an arithmetic number, because the mean of its divisors is an integer number (79252992).

Almost surely, 2^12299960160 is an apocalyptic number.

12299960160 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 12299960160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22824861696).

12299960160 is an abundant number, since it is smaller than the sum of its proper divisors (33349763232).

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

12299960160 is a wasteful number, since it uses less digits than its factorization.

12299960160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 12299960160 in words is "twelve billion, two hundred ninety-nine million, nine hundred sixty thousand, one hundred sixty".