12510284112144 has 1215 divisors, whose sum is σ = 45782769369519. Its totient is φ = 3178195937280.

The previous prime is 12510284112037. The next prime is 12510284112167. The reversal of 12510284112144 is 44121148201521.

The square root of 12510284112144 is 3536988.

It is a perfect power (a square), and thus also a powerful number.

12510284112144 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 0 + 28 + 411 + 214 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8332805955600 + 4177478156544 = 2886660^2 + 2043888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12510284112099 and 12510284112108.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 158358026697 + ... + 158358026775.

Almost surely, 2^{12510284112144} is an apocalyptic number.

12510284112144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12510284112144 is the 3536988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12510284112144

12510284112144 is an abundant number, since it is smaller than the sum of its proper divisors (33272485257375).

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

12510284112144 is a wasteful number, since it uses less digits than its factorization.

12510284112144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

Multiplying 12510284112144 by its sum of digits (36), we get a square (450370228037184 = 21221928²).

12510284112144 divided by its sum of digits (36) gives a square (347507892004 = 589498²).

The spelling of 12510284112144 in words is "twelve trillion, five hundred ten billion, two hundred eighty-four million, one hundred twelve thousand, one hundred forty-four".