12510369000000 has 1029 divisors, whose sum is σ = 46883357365813. Its totient is φ = 3310632000000.

The previous prime is 12510368999993. The next prime is 12510369000023. The reversal of 12510369000000 is 96301521.

The square root of 12510369000000 is 3537000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 10960284239424 + 1550084760576 = 3310632^2 + 1245024^2 .

It is a super-2 number, since 2×12510369000000² (a number of 27 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 95498999935 + ... + 95499000065.

Almost surely, 2^{12510369000000} is an apocalyptic number.

12510369000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12510369000000 is the 3537000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12510369000000

12510369000000 is an abundant number, since it is smaller than the sum of its proper divisors (34372988365813).

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

12510369000000 is an frugal number, since it uses more digits than its factorization.

12510369000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 12510369000000 in words is "twelve trillion, five hundred ten billion, three hundred sixty-nine million", and thus it is an aban number.