221211112122 has 384 divisors, whose sum is σ = 663391572480. Its totient is φ = 51411179520.

The previous prime is 221211112091. The next prime is 221211112153.

221211112122 is a `hidden beast` number, since 221 + 211 + 112 + 122 = 666.

221211112122 is nontrivially palindromic in base 10.

221211112122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221211112091) and next prime (221211112153).

It is a super-2 number, since 2×221211112122² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 221211112095 and 221211112104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 259332648 + ... + 259333500.

It is an arithmetic number, because the mean of its divisors is an integer number (1727582220).

Almost surely, 2^221211112122 is an apocalyptic number.

221211112122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221211112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331695786240).

221211112122 is an abundant number, since it is smaller than the sum of its proper divisors (442180460358).

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

221211112122 is a wasteful number, since it uses less digits than its factorization.

221211112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1315 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

It can be divided in two parts, 221211 and 112122, that added together give a palindrome (333333).

The spelling of 221211112122 in words is "two hundred twenty-one billion, two hundred eleven million, one hundred twelve thousand, one hundred twenty-two".