211424242424112 has 120 divisors (see below), whose sum is σ = 593049423657600. Its totient is φ = 70313355141120.

The previous prime is 211424242424111. The next prime is 211424242424147.

211424242424112 is a `hidden beast` number, since 2 + 1 + 1 + 42 + 42 + 42 + 424 + 112 = 666.

211424242424112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (211424242424111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1119553537 + ... + 1119742367.

It is an arithmetic number, because the mean of its divisors is an integer number (4942078530480).

Almost surely, 2^{211424242424112} is an apocalyptic number.

It is an amenable number.

211424242424112 is an abundant number, since it is smaller than the sum of its proper divisors (381625181233488).

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

211424242424112 is a wasteful number, since it uses less digits than its factorization.

211424242424112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206611 (or 206602 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The spelling of 211424242424112 in words is "two hundred eleven trillion, four hundred twenty-four billion, two hundred forty-two million, four hundred twenty-four thousand, one hundred twelve".