10112123200 has 42 divisors (see below), whose sum is σ = 24882147086. Its totient is φ = 4044848640.

The previous prime is 10112123183. The next prime is 10112123237. The reversal of 10112123200 is 232121101.

It can be written as a sum of positive squares in 3 ways, for example, as 2622259264 + 7489863936 = 51208^2 + 86544^2 .

It is a super-2 number, since 2×10112123200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3158439 + ... + 3161638.

Almost surely, 2^10112123200 is an apocalyptic number.

10112123200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112123200 is an abundant number, since it is smaller than the sum of its proper divisors (14770023886).

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

10112123200 is an equidigital number, since it uses as much as digits as its factorization.

10112123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6320099 (or 6320084 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10112123200 its reverse (232121101), we get a palindrome (10344244301).

The spelling of 10112123200 in words is "ten billion, one hundred twelve million, one hundred twenty-three thousand, two hundred".