212221000 has 64 divisors (see below), whose sum is σ = 518244480. Its totient is φ = 81188800.

The previous prime is 212220997. The next prime is 212221007. The reversal of 212221000 is 122212.

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

It is not an unprimeable number, because it can be changed into a prime (212221007) 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, 18387 + ... + 27613.

It is an arithmetic number, because the mean of its divisors is an integer number (8097570).

Almost surely, 2^212221000 is an apocalyptic number.

212221000 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 212221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259122240).

212221000 is an abundant number, since it is smaller than the sum of its proper divisors (306023480).

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

212221000 is a wasteful number, since it uses less digits than its factorization.

212221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9271 (or 9257 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 212221000 is about 14567.8069729112. The cubic root of 212221000 is about 596.4803193790.

Adding to 212221000 its reverse (122212), we get a palindrome (212343212).

It can be divided in two parts, 21222 and 1000, that added together give a palindrome (22222).

The spelling of 212221000 in words is "two hundred twelve million, two hundred twenty-one thousand".