12902329680 has 160 divisors (see below), whose sum is σ = 41464310400. Its totient is φ = 3314927616.

The previous prime is 12902329667. The next prime is 12902329721. The reversal of 12902329680 is 8692320921.

It is a super-2 number, since 2×12902329680² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3805426 + ... + 3808814.

It is an arithmetic number, because the mean of its divisors is an integer number (259151940).

Almost surely, 2^12902329680 is an apocalyptic number.

12902329680 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 12902329680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20732155200).

12902329680 is an abundant number, since it is smaller than the sum of its proper divisors (28561980720).

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

12902329680 is a wasteful number, since it uses less digits than its factorization.

12902329680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 12902329680 in words is "twelve billion, nine hundred two million, three hundred twenty-nine thousand, six hundred eighty".