122122123210000 has 50 divisors (see below), whose sum is σ = 295669872527942. Its totient is φ = 48848849280000.

The previous prime is 122122123209997. The next prime is 122122123210001. The reversal of 122122123210000 is 12321221221.

It can be written as a sum of positive squares in 5 ways, for example, as 28052530903296 + 94069592306704 = 5296464^2 + 9698948^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a self number, because there is not a number n which added to its sum of digits gives 122122123210000.

It is not an unprimeable number, because it can be changed into a prime (122122123210001) 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 9 ways as a sum of consecutive naturals, for example, 6106096161 + ... + 6106116160.

Almost surely, 2^{122122123210000} is an apocalyptic number.

122122123210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122123210000 is an abundant number, since it is smaller than the sum of its proper divisors (173547749317942).

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

122122123210000 is an equidigital number, since it uses as much as digits as its factorization.

122122123210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12212212349 (or 12212212328 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 122122123210000 its reverse (12321221221), we get a palindrome (122134444431221).

The spelling of 122122123210000 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty-three million, two hundred ten thousand".