211241142112 has 576 divisors, whose sum is σ = 624903068160. Its totient is φ = 67682304000.

The previous prime is 211241142107. The next prime is 211241142113.

211241142112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211241142113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175887112 + ... + 175888312.

It is an arithmetic number, because the mean of its divisors is an integer number (1084901160).

Almost surely, 2^211241142112 is an apocalyptic number.

211241142112 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 211241142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312451534080).

211241142112 is an abundant number, since it is smaller than the sum of its proper divisors (413661926048).

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

211241142112 is a wasteful number, since it uses less digits than its factorization.

211241142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1270 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

It can be divided in two parts, 211241 and 142112, that added together give a palindrome (353353).

The spelling of 211241142112 in words is "two hundred eleven billion, two hundred forty-one million, one hundred forty-two thousand, one hundred twelve".