212400220 has 72 divisors (see below), whose sum is σ = 473446512. Its totient is φ = 79994880.

The previous prime is 212400211. The next prime is 212400229. The reversal of 212400220 is 22004212.

212400220 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212400211) and next prime (212400229).

It is a super-2 number, since 2×212400220² = 90227706912096800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212400220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212400229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826332 + ... + 826588.

It is an arithmetic number, because the mean of its divisors is an integer number (6575646).

Almost surely, 2^212400220 is an apocalyptic number.

212400220 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 212400220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236723256).

212400220 is an abundant number, since it is smaller than the sum of its proper divisors (261046292).

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

212400220 is a wasteful number, since it uses less digits than its factorization.

212400220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 212400220 is about 14573.9569095013. The cubic root of 212400220 is about 596.6481807505.

Adding to 212400220 its reverse (22004212), we get a palindrome (234404432).

The spelling of 212400220 in words is "two hundred twelve million, four hundred thousand, two hundred twenty".