121120221101112 has 128 divisors (see below), whose sum is σ = 339873187507200. Its totient is φ = 39962259792000.

The previous prime is 121120221101101. The next prime is 121120221101153. The reversal of 121120221101112 is 211101122021121.

It is a happy number.

121120221101112 is a `hidden beast` number, since 1 + 211 + 20 + 221 + 101 + 112 = 666.

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

It is a congruent number.

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, 75805333 + ... + 77386619.

It is an arithmetic number, because the mean of its divisors is an integer number (2655259277400).

Almost surely, 2^{121120221101112} is an apocalyptic number.

121120221101112 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 121120221101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169936593753600).

121120221101112 is an abundant number, since it is smaller than the sum of its proper divisors (218752966406088).

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

121120221101112 is a wasteful number, since it uses less digits than its factorization.

121120221101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584914 (or 1584904 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121120221101112 its reverse (211101122021121), we get a palindrome (332221343122233).

The spelling of 121120221101112 in words is "one hundred twenty-one trillion, one hundred twenty billion, two hundred twenty-one million, one hundred one thousand, one hundred twelve".