122828801 has 2 divisors, whose sum is σ = 122828802. Its totient is φ = 122828800.

The previous prime is 122828777. The next prime is 122828803. The reversal of 122828801 is 108828221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120472576 + 2356225 = 10976^2 + 1535^2 .

It is a cyclic number.

It is not a de Polignac number, because 122828801 - 2¹⁸ = 122566657 is a prime.

It is a Sophie Germain prime.

Together with 122828803, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122828803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61414400 + 61414401.

It is an arithmetic number, because the mean of its divisors is an integer number (61414401).

Almost surely, 2^122828801 is an apocalyptic number.

It is an amenable number.

122828801 is a deficient number, since it is larger than the sum of its proper divisors (1).

122828801 is an equidigital number, since it uses as much as digits as its factorization.

122828801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 122828801 is about 11082.8155718662. The cubic root of 122828801 is about 497.0881430979.

The spelling of 122828801 in words is "one hundred twenty-two million, eight hundred twenty-eight thousand, eight hundred one".