12510540000 has 360 divisors, whose sum is σ = 50812922160. Its totient is φ = 2859264000.

The previous prime is 12510539933. The next prime is 12510540001. The reversal of 12510540000 is 4501521.

12510540000 is a `hidden beast` number, since 125 + 1 + 0 + 540 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×12510540000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12510540001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1255036 + ... + 1264964.

It is an arithmetic number, because the mean of its divisors is an integer number (141147006).

Almost surely, 2^12510540000 is an apocalyptic number.

12510540000 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 12510540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25406461080).

12510540000 is an abundant number, since it is smaller than the sum of its proper divisors (38302382160).

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

12510540000 is an equidigital number, since it uses as much as digits as its factorization.

12510540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9972 (or 9946 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The spelling of 12510540000 in words is "twelve billion, five hundred ten million, five hundred forty thousand".