211212212112 has 180 divisors, whose sum is σ = 672128244060. Its totient is φ = 61796528640.

The previous prime is 211212212089. The next prime is 211212212131.

211212212112 is a `hidden beast` number, since 211 + 21 + 221 + 211 + 2 = 666.

211212212112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 69487068816 + 141725143296 = 263604^2 + 376464^2 .

It is a super-2 number, since 2×211212212112² (a number of 23 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 296298 + ... + 714294.

Almost surely, 2^211212212112 is an apocalyptic number.

211212212112 is a gapful number since it is divisible by the number (22) 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 211212212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336064122030).

211212212112 is an abundant number, since it is smaller than the sum of its proper divisors (460916031948).

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

211212212112 is a wasteful number, since it uses less digits than its factorization.

211212212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418062 (or 418042 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

It can be divided in two parts, 211212 and 212112, that added together give a palindrome (423324).

The spelling of 211212212112 in words is "two hundred eleven billion, two hundred twelve million, two hundred twelve thousand, one hundred twelve".