121009120 has 72 divisors (see below), whose sum is σ = 295778952. Its totient is φ = 46782720.

The previous prime is 121009099. The next prime is 121009153. The reversal of 121009120 is 21900121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 121009094 and 121009103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153367 + ... + 154153.

It is an arithmetic number, because the mean of its divisors is an integer number (4108041).

Almost surely, 2^121009120 is an apocalyptic number.

121009120 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 121009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147889476).

121009120 is an abundant number, since it is smaller than the sum of its proper divisors (174769832).

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

121009120 is an equidigital number, since it uses as much as digits as its factorization.

121009120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 121009120 is about 11000.4145376436. The cubic root of 121009120 is about 494.6211705464.

Adding to 121009120 its reverse (21900121), we get a palindrome (142909241).

The spelling of 121009120 in words is "one hundred twenty-one million, nine thousand, one hundred twenty".