12830351400 has 576 divisors, whose sum is σ = 47089486080. Its totient is φ = 3243110400.

The previous prime is 12830351383. The next prime is 12830351411. The reversal of 12830351400 is 415303821.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93652132 + ... + 93652268.

It is an arithmetic number, because the mean of its divisors is an integer number (81752580).

Almost surely, 2^12830351400 is an apocalyptic number.

12830351400 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 12830351400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23544743040).

12830351400 is an abundant number, since it is smaller than the sum of its proper divisors (34259134680).

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

12830351400 is a wasteful number, since it uses less digits than its factorization.

12830351400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12830351400 in words is "twelve billion, eight hundred thirty million, three hundred fifty-one thousand, four hundred".