12506306160 has 160 divisors (see below), whose sum is σ = 40875240960. Its totient is φ = 3154443264.

The previous prime is 12506306149. The next prime is 12506306177. The reversal of 12506306160 is 6160360521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 3450109 + ... + 3453731.

It is an arithmetic number, because the mean of its divisors is an integer number (255470256).

Almost surely, 2^12506306160 is an apocalyptic number.

12506306160 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 12506306160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20437620480).

12506306160 is an abundant number, since it is smaller than the sum of its proper divisors (28368934800).

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

12506306160 is a wasteful number, since it uses less digits than its factorization.

12506306160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4415 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 12506306160 its reverse (6160360521), we get a palindrome (18666666681).

The spelling of 12506306160 in words is "twelve billion, five hundred six million, three hundred six thousand, one hundred sixty".