12510113530200 has 768 divisors, whose sum is σ = 46569454364160. Its totient is φ = 2738196480000.

The previous prime is 12510113530193. The next prime is 12510113530217. The reversal of 12510113530200 is 203531101521.

12510113530200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 719252704 + ... + 719270096.

It is an arithmetic number, because the mean of its divisors is an integer number (60637310370).

Almost surely, 2^{12510113530200} is an apocalyptic number.

12510113530200 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 12510113530200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23284727182080).

12510113530200 is an abundant number, since it is smaller than the sum of its proper divisors (34059340833960).

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

12510113530200 is a wasteful number, since it uses less digits than its factorization.

12510113530200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17620 (or 17611 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 12510113530200 its reverse (203531101521), we get a palindrome (12713644631721).

The spelling of 12510113530200 in words is "twelve trillion, five hundred ten billion, one hundred thirteen million, five hundred thirty thousand, two hundred".