412142312200 has 24 divisors (see below), whose sum is σ = 958230876330. Its totient is φ = 164856924800.

The previous prime is 412142312177. The next prime is 412142312203. The reversal of 412142312200 is 2213241214.

It can be written as a sum of positive squares in 3 ways, for example, as 348437561796 + 63704750404 = 590286^2 + 252398^2 .

It is a super-2 number, since 2×412142312200² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (412142312203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1030355581 + ... + 1030355980.

Almost surely, 2^412142312200 is an apocalyptic number.

412142312200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412142312200 is an abundant number, since it is smaller than the sum of its proper divisors (546088564130).

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

412142312200 is a wasteful number, since it uses less digits than its factorization.

412142312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060711577 (or 2060711568 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 412142312200 its reverse (2213241214), we get a palindrome (414355553414).

The spelling of 412142312200 in words is "four hundred twelve billion, one hundred forty-two million, three hundred twelve thousand, two hundred".