211142404241112 has 128 divisors (see below), whose sum is σ = 542871574511040. Its totient is φ = 68384048578560.

The previous prime is 211142404241057. The next prime is 211142404241159.

It is a happy number.

211142404241112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211142404241112² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211142404241112.

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, 1924302412 + ... + 1924412132.

Almost surely, 2^{211142404241112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211142404241112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271435787255520).

211142404241112 is an abundant number, since it is smaller than the sum of its proper divisors (331729170269928).

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

211142404241112 is a wasteful number, since it uses less digits than its factorization.

211142404241112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112741 (or 112737 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

It can be divided in two parts, 21114240 and 4241112, that added together give a palindrome (25355352).

The spelling of 211142404241112 in words is "two hundred eleven trillion, one hundred forty-two billion, four hundred four million, two hundred forty-one thousand, one hundred twelve".