10125175222272 has 416 divisors, whose sum is σ = 30767390148096. Its totient is φ = 2931451494400.

The previous prime is 10125175222247. The next prime is 10125175222429. The reversal of 10125175222272 is 27222257152101.

It is a self number, because there is not a number n which added to its sum of digits gives 10125175222272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4231162708 + ... + 4231165100.

Almost surely, 2^{10125175222272} is an apocalyptic number.

10125175222272 is a gapful number since it is divisible by the number (12) 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 10125175222272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15383695074048).

10125175222272 is an abundant number, since it is smaller than the sum of its proper divisors (20642214925824).

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

10125175222272 is a wasteful number, since it uses less digits than its factorization.

10125175222272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 39.

The spelling of 10125175222272 in words is "ten trillion, one hundred twenty-five billion, one hundred seventy-five million, two hundred twenty-two thousand, two hundred seventy-two".