122202333010000 has 100 divisors (see below), whose sum is σ = 313267837618692. Its totient is φ = 46005584128000.

The previous prime is 122202333009941. The next prime is 122202333010007. The reversal of 122202333010000 is 10333202221.

It can be written as a sum of positive squares in 10 ways, for example, as 112775394419776 + 9426938590224 = 10619576^2 + 3070332^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 122202333010000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122202333010007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 359248627 + ... + 359588626.

Almost surely, 2^{122202333010000} is an apocalyptic number.

122202333010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122202333010000 is an abundant number, since it is smaller than the sum of its proper divisors (191065504608692).

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

122202333010000 is an equidigital number, since it uses as much as digits as its factorization.

122202333010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718837298 (or 718837277 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 122202333010000 its reverse (10333202221), we get a palindrome (122212666212221).

The spelling of 122202333010000 in words is "one hundred twenty-two trillion, two hundred two billion, three hundred thirty-three million, ten thousand".