12910112160 has 384 divisors, whose sum is σ = 45539988480. Its totient is φ = 3048038400.

The previous prime is 12910112119. The next prime is 12910112167. The reversal of 12910112160 is 6121101921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12910112160.

It is not an unprimeable number, because it can be changed into a prime (12910112167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39003195 + ... + 39003525.

It is an arithmetic number, because the mean of its divisors is an integer number (118593720).

Almost surely, 2^12910112160 is an apocalyptic number.

12910112160 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 12910112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22769994240).

12910112160 is an abundant number, since it is smaller than the sum of its proper divisors (32629876320).

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

12910112160 is a wasteful number, since it uses less digits than its factorization.

12910112160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

The spelling of 12910112160 in words is "twelve billion, nine hundred ten million, one hundred twelve thousand, one hundred sixty".