212241120 has 384 divisors, whose sum is σ = 849429504. Its totient is φ = 43352064.

The previous prime is 212241119. The next prime is 212241121. The reversal of 212241120 is 21142212.

It is an interprime number because it is at equal distance from previous prime (212241119) and next prime (212241121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212241120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212241121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1878184 + ... + 1878296.

It is an arithmetic number, because the mean of its divisors is an integer number (2212056).

Almost surely, 2^212241120 is an apocalyptic number.

212241120 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 212241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424714752).

212241120 is an abundant number, since it is smaller than the sum of its proper divisors (637188384).

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

212241120 is a wasteful number, since it uses less digits than its factorization.

212241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 212241120 is about 14568.4975203348. The cubic root of 212241120 is about 596.4991689192.

Adding to 212241120 its reverse (21142212), we get a palindrome (233383332).

The spelling of 212241120 in words is "two hundred twelve million, two hundred forty-one thousand, one hundred twenty".