10125200000000 has 396 divisors, whose sum is σ = 26806890571740. Its totient is φ = 3809280000000.

The previous prime is 10125199999987. The next prime is 10125200000029. The reversal of 10125200000000 is 252101.

It can be written as a sum of positive squares in 18 ways, for example, as 453995659264 + 9671204340736 = 673792^2 + 3109856^2 .

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 6799999256 + ... + 6800000744.

Almost surely, 2^{10125200000000} is an apocalyptic number.

10125200000000 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 10125200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13403445285870).

10125200000000 is an abundant number, since it is smaller than the sum of its proper divisors (16681690571740).

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

10125200000000 is an frugal number, since it uses more digits than its factorization.

10125200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

Adding to 10125200000000 its reverse (252101), we get a palindrome (10125200252101).

The spelling of 10125200000000 in words is "ten trillion, one hundred twenty-five billion, two hundred million", and thus it is an aban number.