211413222314112 has 128 divisors (see below), whose sum is σ = 691158611525760. Its totient is φ = 55757333348352.

The previous prime is 211413222314017. The next prime is 211413222314113.

211413222314112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×211413222314112² (a number of 29 digits) contains 22 as substring.

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 211413222314112.

It is not an unprimeable number, because it can be changed into a prime (211413222314113) 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, 3024993993 + ... + 3025063880.

It is an arithmetic number, because the mean of its divisors is an integer number (5399676652545).

Almost surely, 2^{211413222314112} is an apocalyptic number.

It is an amenable number.

211413222314112 is an abundant number, since it is smaller than the sum of its proper divisors (479745389211648).

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

211413222314112 is a wasteful number, since it uses less digits than its factorization.

211413222314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050057910 (or 6050057898 counting only the distinct ones).

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

The spelling of 211413222314112 in words is "two hundred eleven trillion, four hundred thirteen billion, two hundred twenty-two million, three hundred fourteen thousand, one hundred twelve".