121108320 has 144 divisors (see below), whose sum is σ = 426771072. Its totient is φ = 31242240.

The previous prime is 121108307. The next prime is 121108349. The reversal of 121108320 is 23801121.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 121108293 and 121108302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43284 + ... + 45996.

It is an arithmetic number, because the mean of its divisors is an integer number (2963688).

Almost surely, 2^121108320 is an apocalyptic number.

121108320 is a gapful number since it is divisible by the number (10) 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 121108320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213385536).

121108320 is an abundant number, since it is smaller than the sum of its proper divisors (305662752).

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

121108320 is a wasteful number, since it uses less digits than its factorization.

121108320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 121108320 is about 11004.9225349386. The cubic root of 121108320 is about 494.7562926442.

Adding to 121108320 its reverse (23801121), we get a palindrome (144909441).

The spelling of 121108320 in words is "one hundred twenty-one million, one hundred eight thousand, three hundred twenty".