212422100 has 72 divisors (see below), whose sum is σ = 520279200. Its totient is φ = 74569600.

The previous prime is 212422087. The next prime is 212422127. The reversal of 212422100 is 1224212.

212422100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 28571 + ... + 35229.

It is an arithmetic number, because the mean of its divisors is an integer number (7226100).

Almost surely, 2^212422100 is an apocalyptic number.

212422100 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 212422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260139600).

212422100 is an abundant number, since it is smaller than the sum of its proper divisors (307857100).

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

212422100 is a wasteful number, since it uses less digits than its factorization.

212422100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6713 (or 6706 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 212422100 is about 14574.7075442357. The cubic root of 212422100 is about 596.6686675685.

Adding to 212422100 its reverse (1224212), we get a palindrome (213646312).

The spelling of 212422100 in words is "two hundred twelve million, four hundred twenty-two thousand, one hundred".