10442412312200 has 144 divisors (see below), whose sum is σ = 27189924928740. Its totient is φ = 3725594329600.

The previous prime is 10442412312083. The next prime is 10442412312301. The reversal of 10442412312200 is 221321424401.

It can be written as a sum of positive squares in 6 ways, for example, as 3196808113444 + 7245604198756 = 1787962^2 + 2691766^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10442412312200.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2788199 + ... + 5353398.

Almost surely, 2^{10442412312200} is an apocalyptic number.

10442412312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10442412312200 is an abundant number, since it is smaller than the sum of its proper divisors (16747512616540).

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

10442412312200 is a wasteful number, since it uses less digits than its factorization.

10442412312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8141688 (or 8141668 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 10442412312200 its reverse (221321424401), we get a palindrome (10663733736601).

The spelling of 10442412312200 in words is "ten trillion, four hundred forty-two billion, four hundred twelve million, three hundred twelve thousand, two hundred".