10412312200 has 96 divisors (see below), whose sum is σ = 24677829000. Its totient is φ = 4084992000.

The previous prime is 10412312177. The next prime is 10412312233. The reversal of 10412312200 is 221321401.

It can be written as a sum of positive squares in 12 ways, for example, as 1057940676 + 9354371524 = 32526^2 + 96718^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2199436 + ... + 2204164.

Almost surely, 2^10412312200 is an apocalyptic number.

10412312200 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 10412312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12338914500).

10412312200 is an abundant number, since it is smaller than the sum of its proper divisors (14265516800).

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

10412312200 is a wasteful number, since it uses less digits than its factorization.

10412312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4955 (or 4946 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10412312200 its reverse (221321401), we get a palindrome (10633633601).

The spelling of 10412312200 in words is "ten billion, four hundred twelve million, three hundred twelve thousand, two hundred".