12510630144 has 180 divisors, whose sum is σ = 37400582604. Its totient is φ = 4159475712.

The previous prime is 12510630101. The next prime is 12510630149. The reversal of 12510630144 is 44103601521.

It is a happy number.

12510630144 is a `hidden beast` number, since 1 + 2 + 5 + 10 + 630 + 14 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6903615744 + 5607014400 = 83088^2 + 74880^2 .

It is a super-2 number, since 2×12510630144² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12510630149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15696754 + ... + 15697550.

Almost surely, 2^12510630144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12510630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18700291302).

12510630144 is an abundant number, since it is smaller than the sum of its proper divisors (24889952460).

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

12510630144 is an frugal number, since it uses more digits than its factorization.

12510630144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12510630144 in words is "twelve billion, five hundred ten million, six hundred thirty thousand, one hundred forty-four".