122221220801 has 2 divisors, whose sum is σ = 122221220802. Its totient is φ = 122221220800.

The previous prime is 122221220777. The next prime is 122221220833. The reversal of 122221220801 is 108022122221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77952640000 + 44268580801 = 279200^2 + 210401^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122221220801 is a prime.

It is not a weakly prime, because it can be changed into another prime (122221220851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110610400 + 61110610401.

It is an arithmetic number, because the mean of its divisors is an integer number (61110610401).

Almost surely, 2^122221220801 is an apocalyptic number.

It is an amenable number.

122221220801 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221220801 is an equidigital number, since it uses as much as digits as its factorization.

122221220801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 23.

The spelling of 122221220801 in words is "one hundred twenty-two billion, two hundred twenty-one million, two hundred twenty thousand, eight hundred one".