12892723200 has 648 divisors, whose sum is σ = 53805892140. Its totient is φ = 2941747200.

The previous prime is 12892723189. The next prime is 12892723219. The reversal of 12892723200 is 232729821.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 22578915 + ... + 22579485.

Almost surely, 2^12892723200 is an apocalyptic number.

12892723200 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 12892723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26902946070).

12892723200 is an abundant number, since it is smaller than the sum of its proper divisors (40913168940).

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

12892723200 is a wasteful number, since it uses less digits than its factorization.

12892723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12892723200 in words is "twelve billion, eight hundred ninety-two million, seven hundred twenty-three thousand, two hundred".