212222400 has 336 divisors, whose sum is σ = 793699200. Its totient is φ = 49213440.

The previous prime is 212222389. The next prime is 212222401. The reversal of 212222400 is 4222212.

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 212222400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212222401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1185511 + ... + 1185689.

It is an arithmetic number, because the mean of its divisors is an integer number (2362200).

Almost surely, 2^212222400 is an apocalyptic number.

212222400 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 212222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396849600).

212222400 is an abundant number, since it is smaller than the sum of its proper divisors (581476800).

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

212222400 is a wasteful number, since it uses less digits than its factorization.

212222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 212222400 is about 14567.8550239903. The cubic root of 212222400 is about 596.4816310158.

Adding to 212222400 its reverse (4222212), we get a palindrome (216444612).

The spelling of 212222400 in words is "two hundred twelve million, two hundred twenty-two thousand, four hundred".