12459900960 has 288 divisors, whose sum is σ = 47030321520. Its totient is φ = 2983993344.

The previous prime is 12459900949. The next prime is 12459900961. The reversal of 12459900960 is 6900995421.

It can be written as a sum of positive squares in 8 ways, for example, as 7533545616 + 4926355344 = 86796^2 + 70188^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12459900961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683646 + ... + 701634.

Almost surely, 2^12459900960 is an apocalyptic number.

12459900960 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 12459900960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23515160760).

12459900960 is an abundant number, since it is smaller than the sum of its proper divisors (34570420560).

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

12459900960 is a wasteful number, since it uses less digits than its factorization.

12459900960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18060 (or 18049 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 12459900960 in words is "twelve billion, four hundred fifty-nine million, nine hundred thousand, nine hundred sixty".