121221323112 has 128 divisors (see below), whose sum is σ = 317509516800. Its totient is φ = 38530971648.

The previous prime is 121221323099. The next prime is 121221323143. The reversal of 121221323112 is 211323122121.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9604518 + ... + 9617130.

It is an arithmetic number, because the mean of its divisors is an integer number (2480543100).

Almost surely, 2^121221323112 is an apocalyptic number.

121221323112 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 121221323112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158754758400).

121221323112 is an abundant number, since it is smaller than the sum of its proper divisors (196288193688).

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

121221323112 is a wasteful number, since it uses less digits than its factorization.

121221323112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12875 (or 12871 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 121221323112 its reverse (211323122121), we get a palindrome (332544445233).

The spelling of 121221323112 in words is "one hundred twenty-one billion, two hundred twenty-one million, three hundred twenty-three thousand, one hundred twelve".