10125219920 has 20 divisors (see below), whose sum is σ = 23541136500. Its totient is φ = 4050087936.

The previous prime is 10125219899. The next prime is 10125219953. The reversal of 10125219920 is 2991252101.

It can be written as a sum of positive squares in 2 ways, for example, as 1525996096 + 8599223824 = 39064^2 + 92732^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63282545 + ... + 63282704.

It is an arithmetic number, because the mean of its divisors is an integer number (1177056825).

Almost surely, 2^10125219920 is an apocalyptic number.

10125219920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10125219920 is an abundant number, since it is smaller than the sum of its proper divisors (13415916580).

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

10125219920 is a wasteful number, since it uses less digits than its factorization.

10125219920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126565262 (or 126565256 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 32.

The spelling of 10125219920 in words is "ten billion, one hundred twenty-five million, two hundred nineteen thousand, nine hundred twenty".