122201020022000 has 80 divisors (see below), whose sum is σ = 297364118555712. Its totient is φ = 48569067705600.

The previous prime is 122201020021981. The next prime is 122201020022071. The reversal of 122201020022000 is 220020102221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194273612 + ... + 194901611.

Almost surely, 2^{122201020022000} is an apocalyptic number.

122201020022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201020022000 is an abundant number, since it is smaller than the sum of its proper divisors (175163098533712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122201020022000 is a wasteful number, since it uses less digits than its factorization.

122201020022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389175403 (or 389175387 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 122201020022000 its reverse (220020102221), we get a palindrome (122421040124221).

The spelling of 122201020022000 in words is "one hundred twenty-two trillion, two hundred one billion, twenty million, twenty-two thousand".