211311222113112 has 192 divisors, whose sum is σ = 585027729377280. Its totient is φ = 63554585952000.

The previous prime is 211311222113111. The next prime is 211311222113137.

211311222113112 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 (211311222113111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245286162 + ... + 246146142.

It is an arithmetic number, because the mean of its divisors is an integer number (3047019423840).

Almost surely, 2^{211311222113112} is an apocalyptic number.

211311222113112 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 211311222113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292513864688640).

211311222113112 is an abundant number, since it is smaller than the sum of its proper divisors (373716507264168).

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

211311222113112 is a wasteful number, since it uses less digits than its factorization.

211311222113112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860646 (or 860631 counting only the distinct ones).

The product of its digits is 288, while the sum is 24.

The spelling of 211311222113112 in words is "two hundred eleven trillion, three hundred eleven billion, two hundred twenty-two million, one hundred thirteen thousand, one hundred twelve".