10125001415200 has 144 divisors (see below), whose sum is σ = 28451984581440. Its totient is φ = 3446454481920.

The previous prime is 10125001415183. The next prime is 10125001415237. The reversal of 10125001415200 is 251410052101.

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 23 ways as a sum of consecutive naturals, for example, 5725327 + ... + 7282126.

It is an arithmetic number, because the mean of its divisors is an integer number (197583226260).

Almost surely, 2^{10125001415200} is an apocalyptic number.

10125001415200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10125001415200 is an abundant number, since it is smaller than the sum of its proper divisors (18326983166240).

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

10125001415200 is a wasteful number, since it uses less digits than its factorization.

10125001415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13007619 (or 13007606 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 10125001415200 its reverse (251410052101), we get a palindrome (10376411467301).

The spelling of 10125001415200 in words is "ten trillion, one hundred twenty-five billion, one million, four hundred fifteen thousand, two hundred".