221211444112122 has 32 divisors (see below), whose sum is σ = 464947246475712. Its totient is φ = 70075781161344.

The previous prime is 221211444112117. The next prime is 221211444112123.

221211444112122 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×221211444112122³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221211444112122.

It is not an unprimeable number, because it can be changed into a prime (221211444112123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11586594483 + ... + 11586613574.

It is an arithmetic number, because the mean of its divisors is an integer number (14529601452366).

Almost surely, 2^{221211444112122} is an apocalyptic number.

221211444112122 is an abundant number, since it is smaller than the sum of its proper divisors (243735802363590).

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

221211444112122 is a wasteful number, since it uses less digits than its factorization.

221211444112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23173208142.

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

The spelling of 221211444112122 in words is "two hundred twenty-one trillion, two hundred eleven billion, four hundred forty-four million, one hundred twelve thousand, one hundred twenty-two".