122122120000393 has 2 divisors, whose sum is σ = 122122120000394. Its totient is φ = 122122120000392.

The previous prime is 122122120000313. The next prime is 122122120000411. The reversal of 122122120000393 is 393000021221221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115500308869449 + 6621811130944 = 10747107^2 + 2573288^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122122120000393 is a prime.

It is not a weakly prime, because it can be changed into another prime (122122120000313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061060000196 + 61061060000197.

It is an arithmetic number, because the mean of its divisors is an integer number (61061060000197).

Almost surely, 2^{122122120000393} is an apocalyptic number.

It is an amenable number.

122122120000393 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122120000393 is an equidigital number, since it uses as much as digits as its factorization.

122122120000393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 122122120000393 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty million, three hundred ninety-three", and thus it is an aban number.