121092768 has 72 divisors (see below), whose sum is σ = 364628628. Its totient is φ = 37988352.

The previous prime is 121092761. The next prime is 121092779. The reversal of 121092768 is 867290121.

It can be written as a sum of positive squares in 2 ways, for example, as 118984464 + 2108304 = 10908^2 + 1452^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (121092761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7471 + ... + 17262.

Almost surely, 2^121092768 is an apocalyptic number.

121092768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121092768 is an abundant number, since it is smaller than the sum of its proper divisors (243535860).

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

121092768 is a wasteful number, since it uses less digits than its factorization.

121092768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24766 (or 24755 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 121092768 is about 11004.2159193647. The cubic root of 121092768 is about 494.7351138647.

The spelling of 121092768 in words is "one hundred twenty-one million, ninety-two thousand, seven hundred sixty-eight".