10112230400 has 264 divisors, whose sum is σ = 26522487720. Its totient is φ = 3816816640.

The previous prime is 10112230391. The next prime is 10112230421. The reversal of 10112230400 is 403221101.

It can be written as a sum of positive squares in 12 ways, for example, as 60964864 + 10051265536 = 7808^2 + 100256^2 .

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 23 ways as a sum of consecutive naturals, for example, 39347072 + ... + 39347328.

Almost surely, 2^10112230400 is an apocalyptic number.

10112230400 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 10112230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13261243860).

10112230400 is an abundant number, since it is smaller than the sum of its proper divisors (16410257320).

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

10112230400 is a wasteful number, since it uses less digits than its factorization.

10112230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10112230400 its reverse (403221101), we get a palindrome (10515451501).

The spelling of 10112230400 in words is "ten billion, one hundred twelve million, two hundred thirty thousand, four hundred".