211922966112 has 432 divisors, whose sum is σ = 678528872784. Its totient is φ = 57811353600.

The previous prime is 211922966111. The next prime is 211922966131. The reversal of 211922966112 is 211669229112.

It is a super-2 number, since 2×211922966112² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211922966111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80485948 + ... + 80488580.

It is an arithmetic number, because the mean of its divisors is an integer number (1570668687).

Almost surely, 2^211922966112 is an apocalyptic number.

211922966112 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 211922966112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339264436392).

211922966112 is an abundant number, since it is smaller than the sum of its proper divisors (466605906672).

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

211922966112 is a wasteful number, since it uses less digits than its factorization.

211922966112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2703 counting only the distinct ones).

The product of its digits is 46656, while the sum is 42.

The spelling of 211922966112 in words is "two hundred eleven billion, nine hundred twenty-two million, nine hundred sixty-six thousand, one hundred twelve".