312220102200 has 96 divisors (see below), whose sum is σ = 999104386560. Its totient is φ = 80572924800.

The previous prime is 312220102177. The next prime is 312220102261. The reversal of 312220102200 is 2201022213.

It is a happy number.

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 312220102200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8374414 + ... + 8411613.

It is an arithmetic number, because the mean of its divisors is an integer number (10407337360).

Almost surely, 2^312220102200 is an apocalyptic number.

312220102200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312220102200 is an abundant number, since it is smaller than the sum of its proper divisors (686884284360).

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

312220102200 is a wasteful number, since it uses less digits than its factorization.

312220102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16786077 (or 16786068 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 312220102200 its reverse (2201022213), we get a palindrome (314421124413).

The spelling of 312220102200 in words is "three hundred twelve billion, two hundred twenty million, one hundred two thousand, two hundred".