121072757 has 8 divisors (see below), whose sum is σ = 130479384. Its totient is φ = 111679488.

The previous prime is 121072751. The next prime is 121072801. The reversal of 121072757 is 757270121.

It can be written as a sum of positive squares in 4 ways, for example, as 39513796 + 81558961 = 6286^2 + 9031^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121072757 - 2²⁰ = 120024181 is a prime.

It is a super-2 number, since 2×121072757² = 29317224975162098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121072751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23573 + ... + 28245.

It is an arithmetic number, because the mean of its divisors is an integer number (16309923).

Almost surely, 2^121072757 is an apocalyptic number.

It is an amenable number.

121072757 is a deficient number, since it is larger than the sum of its proper divisors (9406627).

121072757 is a wasteful number, since it uses less digits than its factorization.

121072757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6679.

The product of its (nonzero) digits is 6860, while the sum is 32.

The square root of 121072757 is about 11003.3066393698. The cubic root of 121072757 is about 494.7078601320.

The spelling of 121072757 in words is "one hundred twenty-one million, seventy-two thousand, seven hundred fifty-seven".