211243342112 has 96 divisors (see below), whose sum is σ = 458244864000. Its totient is φ = 95060977920.

The previous prime is 211243342087. The next prime is 211243342127.

It is a happy number.

211243342112 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15082889 + ... + 15096887.

It is an arithmetic number, because the mean of its divisors is an integer number (4773384000).

Almost surely, 2^211243342112 is an apocalyptic number.

211243342112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211243342112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229122432000).

211243342112 is an abundant number, since it is smaller than the sum of its proper divisors (247001521888).

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

211243342112 is a wasteful number, since it uses less digits than its factorization.

211243342112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14446 (or 14438 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 211243 and 342112, that added together give a palindrome (553355).

The spelling of 211243342112 in words is "two hundred eleven billion, two hundred forty-three million, three hundred forty-two thousand, one hundred twelve".