211221121122112 has 14 divisors (see below), whose sum is σ = 419141912226818. Its totient is φ = 105610560561024.

The previous prime is 211221121122101. The next prime is 211221121122113.

211221121122112 is nontrivially palindromic in base 10.

211221121122112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 189681646070016 + 21539475052096 = 13772496^2 + 4641064^2 .

It is a super-2 number, since 2×211221121122112² (a number of 29 digits) contains 22 as substring.

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 (211221121122113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1650165008703 + ... + 1650165008830.

Almost surely, 2^{211221121122112} is an apocalyptic number.

It is an amenable number.

211221121122112 is a deficient number, since it is larger than the sum of its proper divisors (207920791104706).

211221121122112 is an equidigital number, since it uses as much as digits as its factorization.

211221121122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300330017545 (or 3300330017535 counting only the distinct ones).

The product of its digits is 128, while the sum is 22.

The spelling of 211221121122112 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twelve".