211302112 has 72 divisors (see below), whose sum is σ = 512450064. Its totient is φ = 85220352.

The previous prime is 211302103. The next prime is 211302137. The reversal of 211302112 is 211203112.

It is a junction number, because it is equal to n+sod(n) for n = 211302092 and 211302101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22693 + ... + 30619.

It is an arithmetic number, because the mean of its divisors is an integer number (7117362).

Almost surely, 2^211302112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256225032).

211302112 is an abundant number, since it is smaller than the sum of its proper divisors (301147952).

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

211302112 is a wasteful number, since it uses less digits than its factorization.

211302112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7968 (or 7953 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 211302112 is about 14536.2344505033. The cubic root of 211302112 is about 595.6181810418.

Adding to 211302112 its reverse (211203112), we get a palindrome (422505224).

The spelling of 211302112 in words is "two hundred eleven million, three hundred two thousand, one hundred twelve".