212111200 has 144 divisors (see below), whose sum is σ = 604648800. Its totient is φ = 72629760.

The previous prime is 212111177. The next prime is 212111219. The reversal of 212111200 is 2111212.

It is a super-2 number, since 2×212111200² = 89982322330880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274014 + ... + 274786.

It is an arithmetic number, because the mean of its divisors is an integer number (4198950).

Almost surely, 2^212111200 is an apocalyptic number.

212111200 is a gapful number since it is divisible by the number (20) 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 212111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302324400).

212111200 is an abundant number, since it is smaller than the sum of its proper divisors (392537600).

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

212111200 is an equidigital number, since it uses as much as digits as its factorization.

212111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 212111200 is about 14564.0379016260. The cubic root of 212111200 is about 596.3774316072.

Adding to 212111200 its reverse (2111212), we get a palindrome (214222412).

The spelling of 212111200 in words is "two hundred twelve million, one hundred eleven thousand, two hundred".