122202003300 has 144 divisors (see below), whose sum is σ = 380981240640. Its totient is φ = 30063720960.

The previous prime is 122202003257. The next prime is 122202003323. The reversal of 122202003300 is 3300202221.

122202003300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122202003300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122202003300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7905379 + ... + 7920821.

It is an arithmetic number, because the mean of its divisors is an integer number (2645703060).

Almost surely, 2^122202003300 is an apocalyptic number.

122202003300 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 122202003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190490620320).

122202003300 is an abundant number, since it is smaller than the sum of its proper divisors (258779237340).

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

122202003300 is a wasteful number, since it uses less digits than its factorization.

122202003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17502 (or 17495 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 122202003300 its reverse (3300202221), we get a palindrome (125502205521).

The spelling of 122202003300 in words is "one hundred twenty-two billion, two hundred two million, three thousand, three hundred".