221000122112 has 144 divisors (see below), whose sum is σ = 550655169792. Its totient is φ = 85999656960.

The previous prime is 221000122097. The next prime is 221000122117. The reversal of 221000122112 is 211221000122.

221000122112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221000122112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221000122117) 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 15 ways as a sum of consecutive naturals, for example, 17399348 + ... + 17412044.

Almost surely, 2^221000122112 is an apocalyptic number.

221000122112 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 221000122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275327584896).

221000122112 is an abundant number, since it is smaller than the sum of its proper divisors (329655047680).

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

221000122112 is a wasteful number, since it uses less digits than its factorization.

221000122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13614 (or 13600 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221000122112 its reverse (211221000122), we get a palindrome (432221122234).

The spelling of 221000122112 in words is "two hundred twenty-one billion, one hundred twenty-two thousand, one hundred twelve".