212241720 has 128 divisors (see below), whose sum is σ = 668736000. Its totient is φ = 53813760.

The previous prime is 212241713. The next prime is 212241727. The reversal of 212241720 is 27142212.

It is an interprime number because it is at equal distance from previous prime (212241713) and next prime (212241727).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212241727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246651 + ... + 247509.

It is an arithmetic number, because the mean of its divisors is an integer number (5224500).

Almost surely, 2^212241720 is an apocalyptic number.

212241720 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 212241720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334368000).

212241720 is an abundant number, since it is smaller than the sum of its proper divisors (456494280).

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

212241720 is a wasteful number, since it uses less digits than its factorization.

212241720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 212241720 is about 14568.5181126977. The cubic root of 212241720 is about 596.4997310144.

Adding to 212241720 its reverse (27142212), we get a palindrome (239383932).

The spelling of 212241720 in words is "two hundred twelve million, two hundred forty-one thousand, seven hundred twenty".