211142424241112 has 96 divisors (see below), whose sum is σ = 499172899402080. Its totient is φ = 81952854497280.

The previous prime is 211142424241079. The next prime is 211142424241127.

211142424241112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211142424241112² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209970689 + ... + 210973872.

It is an arithmetic number, because the mean of its divisors is an integer number (5199717702105).

Almost surely, 2^{211142424241112} is an apocalyptic number.

It is an amenable number.

211142424241112 is an abundant number, since it is smaller than the sum of its proper divisors (288030475160968).

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

211142424241112 is a wasteful number, since it uses less digits than its factorization.

211142424241112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420944653 (or 420944636 counting only the distinct ones).

The product of its digits is 8192, while the sum is 32.

The spelling of 211142424241112 in words is "two hundred eleven trillion, one hundred forty-two billion, four hundred twenty-four million, two hundred forty-one thousand, one hundred twelve".