212222000 has 80 divisors (see below), whose sum is σ = 530992800. Its totient is φ = 81939200.

The previous prime is 212221991. The next prime is 212222009. The reversal of 212222000 is 222212.

It is an interprime number because it is at equal distance from previous prime (212221991) and next prime (212222009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212222009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56171 + ... + 59829.

It is an arithmetic number, because the mean of its divisors is an integer number (6637410).

Almost surely, 2^212222000 is an apocalyptic number.

212222000 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 212222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265496400).

212222000 is an abundant number, since it is smaller than the sum of its proper divisors (318770800).

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

212222000 is a wasteful number, since it uses less digits than its factorization.

212222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 212222000 is about 14567.8412951267. The cubic root of 212222000 is about 596.4812562630.

Adding to 212222000 its reverse (222212), we get a palindrome (212444212).

The spelling of 212222000 in words is "two hundred twelve million, two hundred twenty-two thousand".