211542245112 has 128 divisors (see below), whose sum is σ = 595955957760. Its totient is φ = 62010155520.

The previous prime is 211542245053. The next prime is 211542245129.

211542245112 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 211542245112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1627273 + ... + 1752455.

It is an arithmetic number, because the mean of its divisors is an integer number (4655905920).

Almost surely, 2^211542245112 is an apocalyptic number.

211542245112 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 211542245112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297977978880).

211542245112 is an abundant number, since it is smaller than the sum of its proper divisors (384413712648).

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

211542245112 is a wasteful number, since it uses less digits than its factorization.

211542245112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125413 (or 125409 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

It can be divided in two parts, 211542 and 245112, that added together give a palindrome (456654).

The spelling of 211542245112 in words is "two hundred eleven billion, five hundred forty-two million, two hundred forty-five thousand, one hundred twelve".