12816970200 has 240 divisors, whose sum is σ = 45720488880. Its totient is φ = 3325328640.

The previous prime is 12816970129. The next prime is 12816970211. The reversal of 12816970200 is 207961821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 588709 + ... + 610091.

It is an arithmetic number, because the mean of its divisors is an integer number (190502037).

Almost surely, 2^12816970200 is an apocalyptic number.

12816970200 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 12816970200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22860244440).

12816970200 is an abundant number, since it is smaller than the sum of its proper divisors (32903518680).

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

12816970200 is a wasteful number, since it uses less digits than its factorization.

12816970200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21448 (or 21430 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12816970200 in words is "twelve billion, eight hundred sixteen million, nine hundred seventy thousand, two hundred".