122456656501 has 2 divisors, whose sum is σ = 122456656502. Its totient is φ = 122456656500.

The previous prime is 122456656499. The next prime is 122456656513. The reversal of 122456656501 is 105656654221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115307784900 + 7148871601 = 339570^2 + 84551^2 .

It is an emirp because it is prime and its reverse (105656654221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122456656501 - 2¹ = 122456656499 is a prime.

Together with 122456656499, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122456656601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61228328250 + 61228328251.

It is an arithmetic number, because the mean of its divisors is an integer number (61228328251).

Almost surely, 2^122456656501 is an apocalyptic number.

It is an amenable number.

122456656501 is a deficient number, since it is larger than the sum of its proper divisors (1).

122456656501 is an equidigital number, since it uses as much as digits as its factorization.

122456656501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 122456656501 in words is "one hundred twenty-two billion, four hundred fifty-six million, six hundred fifty-six thousand, five hundred one".