10122625800 has 216 divisors, whose sum is σ = 39545725050. Its totient is φ = 2313722880.

The previous prime is 10122625759. The next prime is 10122625817. The reversal of 10122625800 is 852622101.

It is a happy number.

10122625800 is a `hidden beast` number, since 1 + 0 + 1 + 22 + 62 + 580 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5901005124 + 4221620676 = 76818^2 + 64974^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 30816 + ... + 145584.

Almost surely, 2^10122625800 is an apocalyptic number.

10122625800 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 10122625800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19772862525).

10122625800 is an abundant number, since it is smaller than the sum of its proper divisors (29423099250).

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

10122625800 is a wasteful number, since it uses less digits than its factorization.

10122625800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114805 (or 114786 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10122625800 in words is "ten billion, one hundred twenty-two million, six hundred twenty-five thousand, eight hundred".