121121110221120 has 84 divisors (see below), whose sum is σ = 416606152041300. Its totient is φ = 32298962724864.

The previous prime is 121121110221073. The next prime is 121121110221131. The reversal of 121121110221120 is 21122011121121.

It is a happy number.

121121110221120 is a `hidden beast` number, since 1 + 211 + 2 + 1 + 110 + 221 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34955338588416 + 86165771632704 = 5912304^2 + 9282552^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 121121110221093 and 121121110221102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21027967645 + ... + 21027973404.

Almost surely, 2^{121121110221120} is an apocalyptic number.

121121110221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121121110221120 is an abundant number, since it is smaller than the sum of its proper divisors (295485041820180).

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

121121110221120 is a wasteful number, since it uses less digits than its factorization.

121121110221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42055941072 (or 42055941059 counting only the distinct ones).

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

Adding to 121121110221120 its reverse (21122011121121), we get a palindrome (142243121342241).

Subtracting from 121121110221120 its reverse (21122011121121), we obtain a palindrome (99999099099999).

The spelling of 121121110221120 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one hundred ten million, two hundred twenty-one thousand, one hundred twenty".