211212122112 has 288 divisors, whose sum is σ = 642320733600. Its totient is φ = 66731900928.

The previous prime is 211212122021. The next prime is 211212122113. The reversal of 211212122112 is 211221212112.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×211212122112² (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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211212122113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47902564 + ... + 47906972.

It is an arithmetic number, because the mean of its divisors is an integer number (2230280325).

Almost surely, 2^211212122112 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 211212122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321160366800).

211212122112 is an abundant number, since it is smaller than the sum of its proper divisors (431108611488).

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

211212122112 is a wasteful number, since it uses less digits than its factorization.

211212122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4573 (or 4550 counting only the distinct ones).

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

Adding to 211212122112 its reverse (211221212112), we get a palindrome (422433334224).

The spelling of 211212122112 in words is "two hundred eleven billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twelve".