121321360 has 40 divisors (see below), whose sum is σ = 284680440. Its totient is φ = 48079872.

The previous prime is 121321357. The next prime is 121321363. The reversal of 121321360 is 63123121.

It is an interprime number because it is at equal distance from previous prime (121321357) and next prime (121321363).

It can be written as a sum of positive squares in 4 ways, for example, as 27541504 + 93779856 = 5248^2 + 9684^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121321363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1764 + ... + 15676.

It is an arithmetic number, because the mean of its divisors is an integer number (7117011).

Almost surely, 2^121321360 is an apocalyptic number.

121321360 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 121321360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142340220).

121321360 is an abundant number, since it is smaller than the sum of its proper divisors (163359080).

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

121321360 is a wasteful number, since it uses less digits than its factorization.

121321360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14035 (or 14029 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 121321360 is about 11014.5975868390. The cubic root of 121321360 is about 495.0462290600.

Adding to 121321360 its reverse (63123121), we get a palindrome (184444481).

The spelling of 121321360 in words is "one hundred twenty-one million, three hundred twenty-one thousand, three hundred sixty".