122122022200200 has 1152 divisors, whose sum is σ = 476578050624000. Its totient is φ = 27739940659200.

The previous prime is 122122022200187. The next prime is 122122022200207. The reversal of 122122022200200 is 2002220221221.

122122022200200 is a `hidden beast` number, since 1 + 2 + 21 + 220 + 2 + 220 + 0 + 200 = 666.

It is a super-2 number, since 2×122122022200200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122122022200207) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 8434416561 + ... + 8434431039.

It is an arithmetic number, because the mean of its divisors is an integer number (413696224500).

Almost surely, 2^{122122022200200} is an apocalyptic number.

122122022200200 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 122122022200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238289025312000).

122122022200200 is an abundant number, since it is smaller than the sum of its proper divisors (354456028423800).

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

122122022200200 is a wasteful number, since it uses less digits than its factorization.

122122022200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14975 (or 14963 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122122022200200 its reverse (2002220221221), we get a palindrome (124124242421421).

The spelling of 122122022200200 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, twenty-two million, two hundred thousand, two hundred".