121121212220112 has 320 divisors, whose sum is σ = 352608771594240. Its totient is φ = 35547198855168.

The previous prime is 121121212220023. The next prime is 121121212220117. The reversal of 121121212220112 is 211022212121121.

It is a super-3 number, since 3×121121212220112³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121121212220117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9372524083 + ... + 9372537005.

It is an arithmetic number, because the mean of its divisors is an integer number (1101902411232).

Almost surely, 2^{121121212220112} is an apocalyptic number.

121121212220112 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 121121212220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176304385797120).

121121212220112 is an abundant number, since it is smaller than the sum of its proper divisors (231487559374128).

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

121121212220112 is a wasteful number, since it uses less digits than its factorization.

121121212220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14762 (or 14756 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 121121212220112 its reverse (211022212121121), we get a palindrome (332143424341233).

The spelling of 121121212220112 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two hundred twelve million, two hundred twenty thousand, one hundred twelve".