121135120 has 40 divisors (see below), whose sum is σ = 283356864. Its totient is φ = 48158592.

The previous prime is 121135111. The next prime is 121135169. The reversal of 121135120 is 21531121.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 121135094 and 121135103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8827 + ... + 17893.

Almost surely, 2^121135120 is an apocalyptic number.

121135120 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 121135120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141678432).

121135120 is an abundant number, since it is smaller than the sum of its proper divisors (162221744).

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

121135120 is a wasteful number, since it uses less digits than its factorization.

121135120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9247 (or 9241 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 121135120 is about 11006.1401045053. The cubic root of 121135120 is about 494.7927847440.

Adding to 121135120 its reverse (21531121), we get a palindrome (142666241).

The spelling of 121135120 in words is "one hundred twenty-one million, one hundred thirty-five thousand, one hundred twenty".