412222200 has 192 divisors, whose sum is σ = 1410847200. Its totient is φ = 98918400.

The previous prime is 412222199. The next prime is 412222219. The reversal of 412222200 is 2222214.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 412222200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319156 + ... + 320444.

Almost surely, 2^412222200 is an apocalyptic number.

412222200 is a gapful number since it is divisible by the number (40) 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 412222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705423600).

412222200 is an abundant number, since it is smaller than the sum of its proper divisors (998625000).

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

412222200 is a wasteful number, since it uses less digits than its factorization.

412222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 412222200 is about 20303.2558965305. The cubic root of 412222200 is about 744.2356318054.

Adding to 412222200 its reverse (2222214), we get a palindrome (414444414).

The spelling of 412222200 in words is "four hundred twelve million, two hundred twenty-two thousand, two hundred".