122001020200000 has 336 divisors, whose sum is σ = 320991005260800. Its totient is φ = 45845130240000.

The previous prime is 122001020199991. The next prime is 122001020200067. The reversal of 122001020200000 is 2020100221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 122001020200000.

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 47 ways as a sum of consecutive naturals, for example, 1859767201 + ... + 1859832799.

It is an arithmetic number, because the mean of its divisors is an integer number (955330372800).

Almost surely, 2^{122001020200000} is an apocalyptic number.

122001020200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122001020200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160495502630400).

122001020200000 is an abundant number, since it is smaller than the sum of its proper divisors (198989985060800).

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

122001020200000 is an frugal number, since it uses more digits than its factorization.

122001020200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66200 (or 66170 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 122001020200000 its reverse (2020100221), we get a palindrome (122003040300221).

The spelling of 122001020200000 in words is "one hundred twenty-two trillion, one billion, twenty million, two hundred thousand".