211243121342112 has 24 divisors (see below), whose sum is σ = 554513193523296. Its totient is φ = 70414373780672.

The previous prime is 211243121342089. The next prime is 211243121342131.

211243121342112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (24).

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 211243121342112.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1100224590228 + ... + 1100224590419.

It is an arithmetic number, because the mean of its divisors is an integer number (23104716396804).

Almost surely, 2^{211243121342112} is an apocalyptic number.

It is an amenable number.

211243121342112 is an abundant number, since it is smaller than the sum of its proper divisors (343270072181184).

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

211243121342112 is a wasteful number, since it uses less digits than its factorization.

211243121342112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200449180660 (or 2200449180652 counting only the distinct ones).

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

The spelling of 211243121342112 in words is "two hundred eleven trillion, two hundred forty-three billion, one hundred twenty-one million, three hundred forty-two thousand, one hundred twelve".