121257117 has 6 divisors (see below), whose sum is σ = 175149182. Its totient is φ = 80838072.

The previous prime is 121257083. The next prime is 121257121. The reversal of 121257117 is 711752121.

It can be written as a sum of positive squares in only one way, i.e., 119377476 + 1879641 = 10926^2 + 1371^2 .

It is not a de Polignac number, because 121257117 - 2²⁴ = 104479901 is a prime.

It is a Duffinian number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121257217) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6736498 + ... + 6736515.

Almost surely, 2^121257117 is an apocalyptic number.

It is an amenable number.

121257117 is a deficient number, since it is larger than the sum of its proper divisors (53892065).

121257117 is a wasteful number, since it uses less digits than its factorization.

121257117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13473019 (or 13473016 counting only the distinct ones).

The product of its digits is 980, while the sum is 27.

The square root of 121257117 is about 11011.6809343533. The cubic root of 121257117 is about 494.9588334299.

The spelling of 121257117 in words is "one hundred twenty-one million, two hundred fifty-seven thousand, one hundred seventeen".