121333760 has 144 divisors (see below), whose sum is σ = 316805580. Its totient is φ = 44564480.

The previous prime is 121333759. The next prime is 121333769. The reversal of 121333760 is 67333121.

It can be written as a sum of positive squares in 6 ways, for example, as 53699584 + 67634176 = 7328^2 + 8224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121333769) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2959340 + ... + 2959380.

Almost surely, 2^121333760 is an apocalyptic number.

121333760 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 121333760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158402790).

121333760 is an abundant number, since it is smaller than the sum of its proper divisors (195471820).

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

121333760 is an equidigital number, since it uses as much as digits as its factorization.

121333760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 121333760 is about 11015.1604618362. The cubic root of 121333760 is about 495.0630943620.

Adding to 121333760 its reverse (67333121), we get a palindrome (188666881).

The spelling of 121333760 in words is "one hundred twenty-one million, three hundred thirty-three thousand, seven hundred sixty".