12830400000 has 840 divisors, whose sum is σ = 52409411208. Its totient is φ = 3110400000.

The previous prime is 12830399929. The next prime is 12830400029. The reversal of 12830400000 is 403821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1166399995 + ... + 1166400005.

Almost surely, 2^12830400000 is an apocalyptic number.

12830400000 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 12830400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26204705604).

12830400000 is an abundant number, since it is smaller than the sum of its proper divisors (39579011208).

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

12830400000 is an frugal number, since it uses more digits than its factorization.

12830400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12830400000 its reverse (403821), we get a palindrome (12830803821).

The spelling of 12830400000 in words is "twelve billion, eight hundred thirty million, four hundred thousand".