212111400 has 96 divisors (see below), whose sum is σ = 659823840. Its totient is φ = 56367360.

The previous prime is 212111399. The next prime is 212111437. The reversal of 212111400 is 4111212.

It is a happy number.

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

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, 279822 + ... + 280578.

It is an arithmetic number, because the mean of its divisors is an integer number (6873165).

Almost surely, 2^212111400 is an apocalyptic number.

212111400 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 212111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329911920).

212111400 is an abundant number, since it is smaller than the sum of its proper divisors (447712440).

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

212111400 is a wasteful number, since it uses less digits than its factorization.

212111400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 212111400 is about 14564.0447678521. The cubic root of 212111400 is about 596.3776190489.

Adding to 212111400 its reverse (4111212), we get a palindrome (216222612).

The spelling of 212111400 in words is "two hundred twelve million, one hundred eleven thousand, four hundred".