212311200 has 72 divisors (see below), whose sum is σ = 691080768. Its totient is φ = 56615680.

The previous prime is 212311199. The next prime is 212311201. The reversal of 212311200 is 2113212.

It is an interprime number because it is at equal distance from previous prime (212311199) and next prime (212311201).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (212311201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41832 + ... + 46631.

It is an arithmetic number, because the mean of its divisors is an integer number (9598344).

Almost surely, 2^212311200 is an apocalyptic number.

212311200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212311200 is an abundant number, since it is smaller than the sum of its proper divisors (478769568).

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

212311200 is a wasteful number, since it uses less digits than its factorization.

212311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88486 (or 88473 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 212311200 is about 14570.9025115125. The cubic root of 212311200 is about 596.5648144793.

Adding to 212311200 its reverse (2113212), we get a palindrome (214424412).

The spelling of 212311200 in words is "two hundred twelve million, three hundred eleven thousand, two hundred".