121122233331257 has 2 divisors, whose sum is σ = 121122233331258. Its totient is φ = 121122233331256.

The previous prime is 121122233331179. The next prime is 121122233331259. The reversal of 121122233331257 is 752133332221121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86702374810921 + 34419858520336 = 9311411^2 + 5866844^2 .

It is a cyclic number.

It is not a de Polignac number, because 121122233331257 - 2⁴⁰ = 120022721703481 is a prime.

Together with 121122233331259, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121122233331257.

It is not a weakly prime, because it can be changed into another prime (121122233331259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60561116665628 + 60561116665629.

It is an arithmetic number, because the mean of its divisors is an integer number (60561116665629).

Almost surely, 2^{121122233331257} is an apocalyptic number.

It is an amenable number.

121122233331257 is a deficient number, since it is larger than the sum of its proper divisors (1).

121122233331257 is an equidigital number, since it uses as much as digits as its factorization.

121122233331257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 90720, while the sum is 38.

Adding to 121122233331257 its reverse (752133332221121), we get a palindrome (873255565552378).

The spelling of 121122233331257 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred thirty-three million, three hundred thirty-one thousand, two hundred fifty-seven".