122001200441001 has 48 divisors (see below), whose sum is σ = 207898801763328. Its totient is φ = 67465044028800.

The previous prime is 122001200440997. The next prime is 122001200441059. The reversal of 122001200441001 is 100144002100221.

122001200441001 is a `hidden beast` number, since 1 + 2 + 20 + 0 + 1 + 200 + 441 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 122001200441001 - 2² = 122001200440997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122001200446001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133514611 + ... + 134425271.

It is an arithmetic number, because the mean of its divisors is an integer number (4331225036736).

Almost surely, 2^{122001200441001} is an apocalyptic number.

It is an amenable number.

122001200441001 is a deficient number, since it is larger than the sum of its proper divisors (85897601322327).

122001200441001 is a wasteful number, since it uses less digits than its factorization.

122001200441001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979302 (or 979299 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122001200441001 its reverse (100144002100221), we get a palindrome (222145202541222).

The spelling of 122001200441001 in words is "one hundred twenty-two trillion, one billion, two hundred million, four hundred forty-one thousand, one".