12930355200 has 468 divisors, whose sum is σ = 49788829680. Its totient is φ = 2952069120.

The previous prime is 12930355199. The next prime is 12930355231. The reversal of 12930355200 is 255303921.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15052371 + ... + 15053229.

Almost surely, 2^12930355200 is an apocalyptic number.

12930355200 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 12930355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24894414840).

12930355200 is an abundant number, since it is smaller than the sum of its proper divisors (36858474480).

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

12930355200 is an equidigital number, since it uses as much as digits as its factorization.

12930355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 12930355200 in words is "twelve billion, nine hundred thirty million, three hundred fifty-five thousand, two hundred".