211312424213112 has 32 divisors (see below), whose sum is σ = 528282663811200. Its totient is φ = 70437260967264.

The previous prime is 211312424213101. The next prime is 211312424213113.

211312424213112 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 211312424213112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211312424213113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5185812 + ... + 21201827.

It is an arithmetic number, because the mean of its divisors is an integer number (16508833244100).

Almost surely, 2^{211312424213112} is an apocalyptic number.

It is an amenable number.

211312424213112 is an abundant number, since it is smaller than the sum of its proper divisors (316970239598088).

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

211312424213112 is a wasteful number, since it uses less digits than its factorization.

211312424213112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26721315 (or 26721311 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

It can be divided in two parts, 211312 and 424213112, that added together give a palindrome (424424424).

The spelling of 211312424213112 in words is "two hundred eleven trillion, three hundred twelve billion, four hundred twenty-four million, two hundred thirteen thousand, one hundred twelve".