211224422112 has 192 divisors, whose sum is σ = 643015376640. Its totient is φ = 60037632000.

The previous prime is 211224422089. The next prime is 211224422113.

211224422112 is nontrivially palindromic in base 10.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211224422113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1974348 + ... + 2078580.

It is an arithmetic number, because the mean of its divisors is an integer number (3349038420).

Almost surely, 2^211224422112 is an apocalyptic number.

211224422112 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 211224422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321507688320).

211224422112 is an abundant number, since it is smaller than the sum of its proper divisors (431790954528).

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

211224422112 is a wasteful number, since it uses less digits than its factorization.

211224422112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104377 (or 104369 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 211224 and 422112, that added together give a palindrome (633336).

The spelling of 211224422112 in words is "two hundred eleven billion, two hundred twenty-four million, four hundred twenty-two thousand, one hundred twelve".