12930192000 has 640 divisors, whose sum is σ = 52446588480. Its totient is φ = 3131136000.

The previous prime is 12930191987. The next prime is 12930192029. The reversal of 12930192000 is 29103921.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 14255547 + ... + 14256453.

Almost surely, 2^12930192000 is an apocalyptic number.

12930192000 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 12930192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26223294240).

12930192000 is an abundant number, since it is smaller than the sum of its proper divisors (39516396480).

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

12930192000 is an equidigital number, since it uses as much as digits as its factorization.

12930192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

Adding to 12930192000 its reverse (29103921), we get a palindrome (12959295921).

The spelling of 12930192000 in words is "twelve billion, nine hundred thirty million, one hundred ninety-two thousand".