211824428112 has 240 divisors, whose sum is σ = 675397771776. Its totient is φ = 61346208000.

The previous prime is 211824428063. The next prime is 211824428129.

211824428112 is a `hidden beast` number, since 2 + 118 + 2 + 4 + 428 + 112 = 666.

211824428112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70348687 + ... + 70351697.

Almost surely, 2^211824428112 is an apocalyptic number.

211824428112 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 211824428112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337698885888).

211824428112 is an abundant number, since it is smaller than the sum of its proper divisors (463573343664).

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

211824428112 is a wasteful number, since it uses less digits than its factorization.

211824428112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4990 (or 4981 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

It can be divided in two parts, 211824 and 428112, that added together give a palindrome (639936).

The spelling of 211824428112 in words is "two hundred eleven billion, eight hundred twenty-four million, four hundred twenty-eight thousand, one hundred twelve".