211320023112 has 288 divisors, whose sum is σ = 648664019640. Its totient is φ = 62057318400.

The previous prime is 211320023111. The next prime is 211320023119.

211320023112 is a `hidden beast` number, since 211 + 320 + 0 + 23 + 112 = 666.

211320023112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 206248589316 + 5071433796 = 454146^2 + 71214^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211320023111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90577498 + ... + 90579830.

Almost surely, 2^211320023112 is an apocalyptic number.

211320023112 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 211320023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324332009820).

211320023112 is an abundant number, since it is smaller than the sum of its proper divisors (437343996528).

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

211320023112 is a wasteful number, since it uses less digits than its factorization.

211320023112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 2113200 and 23112, that added together give a palindrome (2136312).

The spelling of 211320023112 in words is "two hundred eleven billion, three hundred twenty million, twenty-three thousand, one hundred twelve".