121221122112 has 84 divisors (see below), whose sum is σ = 347853416560. Its totient is φ = 40361110272.

The previous prime is 121221122089. The next prime is 121221122137. The reversal of 121221122112 is 211221122121.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389439 + ... + 627777.

Almost surely, 2^121221122112 is an apocalyptic number.

121221122112 is a gapful number since it is divisible by the number (12) 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 121221122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173926708280).

121221122112 is an abundant number, since it is smaller than the sum of its proper divisors (226632294448).

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

121221122112 is a wasteful number, since it uses less digits than its factorization.

121221122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239240 (or 239227 counting only the distinct ones).

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

Adding to 121221122112 its reverse (211221122121), we get a palindrome (332442244233).

Subtracting 121221122112 from its reverse (211221122121), we obtain a palindrome (90000000009).

The spelling of 121221122112 in words is "one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twelve".