121115760 has 160 divisors (see below), whose sum is σ = 394641408. Its totient is φ = 30689280.

The previous prime is 121115719. The next prime is 121115779. The reversal of 121115760 is 67511121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 121115760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543009 + ... + 543231.

Almost surely, 2^121115760 is an apocalyptic number.

121115760 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 121115760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197320704).

121115760 is an abundant number, since it is smaller than the sum of its proper divisors (273525648).

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

121115760 is a wasteful number, since it uses less digits than its factorization.

121115760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

The square root of 121115760 is about 11005.2605602957. The cubic root of 121115760 is about 494.7664238266.

Adding to 121115760 its reverse (67511121), we get a palindrome (188626881).

It can be divided in two parts, 12111 and 5760, that added together give a palindrome (17871).

The spelling of 121115760 in words is "one hundred twenty-one million, one hundred fifteen thousand, seven hundred sixty".