121257121 has 2 divisors, whose sum is σ = 121257122. Its totient is φ = 121257120.

The previous prime is 121257083. The next prime is 121257217. The reversal of 121257121 is 121752121.

It is the 4496-th star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108576400 + 12680721 = 10420^2 + 3561^2 .

It is a cyclic number.

It is not a de Polignac number, because 121257121 - 2¹¹ = 121255073 is a prime.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 121257092 and 121257101.

It is not a weakly prime, because it can be changed into another prime (121258121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60628560 + 60628561.

It is an arithmetic number, because the mean of its divisors is an integer number (60628561).

Almost surely, 2^121257121 is an apocalyptic number.

It is an amenable number.

121257121 is a deficient number, since it is larger than the sum of its proper divisors (1).

121257121 is an equidigital number, since it uses as much as digits as its factorization.

121257121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 280, while the sum is 22.

The square root of 121257121 is about 11011.6811159786. The cubic root of 121257121 is about 494.9588388724.

The spelling of 121257121 in words is "one hundred twenty-one million, two hundred fifty-seven thousand, one hundred twenty-one".