12812083200 has 672 divisors, whose sum is σ = 53956427520. Its totient is φ = 2919628800.

The previous prime is 12812083169. The next prime is 12812083223. The reversal of 12812083200 is 238021821.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38707035 + ... + 38707365.

Almost surely, 2^12812083200 is an apocalyptic number.

12812083200 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 12812083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26978213760).

12812083200 is an abundant number, since it is smaller than the sum of its proper divisors (41144344320).

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

12812083200 is an equidigital number, since it uses as much as digits as its factorization.

12812083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12812083200 in words is "twelve billion, eight hundred twelve million, eighty-three thousand, two hundred".