121140768 has 96 divisors (see below), whose sum is σ = 368686080. Its totient is φ = 34110720.

The previous prime is 121140707. The next prime is 121140769. The reversal of 121140768 is 867041121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×121140768³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (121140769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46443 + ... + 48981.

It is an arithmetic number, because the mean of its divisors is an integer number (3840480).

Almost surely, 2^121140768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121140768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184343040).

121140768 is an abundant number, since it is smaller than the sum of its proper divisors (247545312).

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

121140768 is a wasteful number, since it uses less digits than its factorization.

121140768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 121140768 is about 11006.3966855643. The cubic root of 121140768 is about 494.8004746312.

Adding to 121140768 its reverse (867041121), we get a palindrome (988181889).

The spelling of 121140768 in words is "one hundred twenty-one million, one hundred forty thousand, seven hundred sixty-eight".