211441121144112 has 20 divisors (see below), whose sum is σ = 546222896289080. Its totient is φ = 70480373714688.

The previous prime is 211441121144089. The next prime is 211441121144117.

211441121144112 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 211441121144112.

It is not an unprimeable number, because it can be changed into a prime (211441121144117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2202511678537 + ... + 2202511678632.

It is an arithmetic number, because the mean of its divisors is an integer number (27311144814454).

Almost surely, 2^{211441121144112} is an apocalyptic number.

It is an amenable number.

211441121144112 is an abundant number, since it is smaller than the sum of its proper divisors (334781775144968).

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

211441121144112 is a wasteful number, since it uses less digits than its factorization.

211441121144112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4405023357180 (or 4405023357174 counting only the distinct ones).

The product of its digits is 2048, while the sum is 30.

The spelling of 211441121144112 in words is "two hundred eleven trillion, four hundred forty-one billion, one hundred twenty-one million, one hundred forty-four thousand, one hundred twelve".