121301120 has 64 divisors (see below), whose sum is σ = 307071000. Its totient is φ = 45662208.

The previous prime is 121301087. The next prime is 121301161. The reversal of 121301120 is 21103121.

It can be written as a sum of positive squares in 4 ways, for example, as 101445184 + 19855936 = 10072^2 + 4456^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 5306 + ... + 16454.

Almost surely, 2^121301120 is an apocalyptic number.

121301120 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 121301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153535500).

121301120 is an abundant number, since it is smaller than the sum of its proper divisors (185769880).

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

121301120 is a wasteful number, since it uses less digits than its factorization.

121301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11185 (or 11173 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 121301120 is about 11013.6787677869. The cubic root of 121301120 is about 495.0186980659.

Adding to 121301120 its reverse (21103121), we get a palindrome (142404241).

The spelling of 121301120 in words is "one hundred twenty-one million, three hundred one thousand, one hundred twenty".