211611116112 has 80 divisors (see below), whose sum is σ = 596792487360. Its totient is φ = 64077926400.

The previous prime is 211611116083. The next prime is 211611116113.

211611116112 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 (211611116113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584064 + ... + 874272.

It is an arithmetic number, because the mean of its divisors is an integer number (7459906092).

Almost surely, 2^211611116112 is an apocalyptic number.

211611116112 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 211611116112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298396243680).

211611116112 is an abundant number, since it is smaller than the sum of its proper divisors (385181371248).

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

211611116112 is a wasteful number, since it uses less digits than its factorization.

211611116112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291612 (or 291606 counting only the distinct ones).

The product of its digits is 144, while the sum is 24.

It can be divided in two parts, 211611 and 116112, that added together give a palindrome (327723).

The spelling of 211611116112 in words is "two hundred eleven billion, six hundred eleven million, one hundred sixteen thousand, one hundred twelve".