12946930920 has 768 divisors, whose sum is σ = 57206476800. Its totient is φ = 2570641920.

The previous prime is 12946930883. The next prime is 12946930957. The reversal of 12946930920 is 2903964921.

It is a happy number.

12946930920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12946930883) and next prime (12946930957).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13388277 + ... + 13389243.

It is an arithmetic number, because the mean of its divisors is an integer number (74487600).

Almost surely, 2^12946930920 is an apocalyptic number.

12946930920 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 12946930920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28603238400).

12946930920 is an abundant number, since it is smaller than the sum of its proper divisors (44259545880).

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

12946930920 is a wasteful number, since it uses less digits than its factorization.

12946930920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 12946930920 in words is "twelve billion, nine hundred forty-six million, nine hundred thirty thousand, nine hundred twenty".