121120120 has 64 divisors (see below), whose sum is σ = 299427840. Its totient is φ = 43728000.

The previous prime is 121120099. The next prime is 121120123. The reversal of 121120120 is 21021121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 121120097 and 121120106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121120123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65529 + ... + 67351.

It is an arithmetic number, because the mean of its divisors is an integer number (4678560).

Almost surely, 2^121120120 is an apocalyptic number.

121120120 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 121120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149713920).

121120120 is an abundant number, since it is smaller than the sum of its proper divisors (178307720).

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

121120120 is a wasteful number, since it uses less digits than its factorization.

121120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 121120120 is about 11005.4586455995. The cubic root of 121120120 is about 494.7723607246.

Adding to 121120120 its reverse (21021121), we get a palindrome (142141241).

The spelling of 121120120 in words is "one hundred twenty-one million, one hundred twenty thousand, one hundred twenty".