12312500200 has 288 divisors, whose sum is σ = 38733770880. Its totient is φ = 3541824000.

The previous prime is 12312500191. The next prime is 12312500201. The reversal of 12312500200 is 200521321.

It is a super-2 number, since 2×12312500200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312500201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2199405 + ... + 2204995.

It is an arithmetic number, because the mean of its divisors is an integer number (134492260).

Almost surely, 2^12312500200 is an apocalyptic number.

12312500200 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 12312500200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19366885440).

12312500200 is an abundant number, since it is smaller than the sum of its proper divisors (26421270680).

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

12312500200 is a wasteful number, since it uses less digits than its factorization.

12312500200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5649 (or 5629 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The spelling of 12312500200 in words is "twelve billion, three hundred twelve million, five hundred thousand, two hundred".