122020010200 has 192 divisors, whose sum is σ = 328135248000. Its totient is φ = 41731200000.

The previous prime is 122020010171. The next prime is 122020010221. The reversal of 122020010200 is 2010020221.

It is a super-3 number, since 3×122020010200³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5799700 + ... + 5820700.

It is an arithmetic number, because the mean of its divisors is an integer number (1709037750).

Almost surely, 2^122020010200 is an apocalyptic number.

122020010200 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 122020010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164067624000).

122020010200 is an abundant number, since it is smaller than the sum of its proper divisors (206115237800).

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

122020010200 is a wasteful number, since it uses less digits than its factorization.

122020010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21186 (or 21177 counting only the distinct ones).

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

Adding to 122020010200 its reverse (2010020221), we get a palindrome (124030030421).

The spelling of 122020010200 in words is "one hundred twenty-two billion, twenty million, ten thousand, two hundred".