12930283520 has 576 divisors, whose sum is σ = 41739909120. Its totient is φ = 3730636800.

The previous prime is 12930283517. The next prime is 12930283547. The reversal of 12930283520 is 2538203921.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 417105905 + ... + 417105935.

It is an arithmetic number, because the mean of its divisors is an integer number (72465120).

Almost surely, 2^12930283520 is an apocalyptic number.

12930283520 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 12930283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20869954560).

12930283520 is an abundant number, since it is smaller than the sum of its proper divisors (28809625600).

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

12930283520 is a wasteful number, since it uses less digits than its factorization.

12930283520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 12930283520 in words is "twelve billion, nine hundred thirty million, two hundred eighty-three thousand, five hundred twenty".