212211144 has 64 divisors (see below), whose sum is σ = 591302400. Its totient is φ = 70517952.

The previous prime is 212211137. The next prime is 212211191. The reversal of 212211144 is 441112212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77934 + ... + 80610.

It is an arithmetic number, because the mean of its divisors is an integer number (9239100).

Almost surely, 2^212211144 is an apocalyptic number.

212211144 is a gapful number since it is divisible by the number (24) 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 212211144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295651200).

212211144 is an abundant number, since it is smaller than the sum of its proper divisors (379091256).

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

212211144 is a wasteful number, since it uses less digits than its factorization.

212211144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3049 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 212211144 is about 14567.4686888285. The cubic root of 212211144 is about 596.4710852928.

Adding to 212211144 its reverse (441112212), we get a palindrome (653323356).

The spelling of 212211144 in words is "two hundred twelve million, two hundred eleven thousand, one hundred forty-four".