212186112 has 132 divisors (see below), whose sum is σ = 603291840. Its totient is φ = 66289664.

The previous prime is 212186101. The next prime is 212186131. The reversal of 212186112 is 211681212.

It is a super-2 number, since 2×212186112² = 90045892251353088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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, 887689 + ... + 887927.

Almost surely, 2^212186112 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 212186112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301645920).

212186112 is an abundant number, since it is smaller than the sum of its proper divisors (391105728).

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

212186112 is a wasteful number, since it uses less digits than its factorization.

212186112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 261 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

The square root of 212186112 is about 14566.6094888275. The cubic root of 212186112 is about 596.4476315271.

The spelling of 212186112 in words is "two hundred twelve million, one hundred eighty-six thousand, one hundred twelve".