12456510000 has 200 divisors, whose sum is σ = 43868007744. Its totient is φ = 3019680000.

The previous prime is 12456509971. The next prime is 12456510007. The reversal of 12456510000 is 1565421.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is not an unprimeable number, because it can be changed into a prime (12456510007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 311127 + ... + 348873.

Almost surely, 2^12456510000 is an apocalyptic number.

12456510000 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 12456510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21934003872).

12456510000 is an abundant number, since it is smaller than the sum of its proper divisors (31411497744).

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

12456510000 is a wasteful number, since it uses less digits than its factorization.

12456510000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37789 (or 37768 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 12456510000 in words is "twelve billion, four hundred fifty-six million, five hundred ten thousand".