122320133000 has 128 divisors (see below), whose sum is σ = 308540625120. Its totient is φ = 45121305600.

The previous prime is 122320132981. The next prime is 122320133027. The reversal of 122320133000 is 331023221.

It can be written as a sum of positive squares in 16 ways, for example, as 30611701444 + 91708431556 = 174962^2 + 302834^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 122320133000.

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 31 ways as a sum of consecutive naturals, for example, 15765122 + ... + 15772878.

Almost surely, 2^122320133000 is an apocalyptic number.

122320133000 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 122320133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154270312560).

122320133000 is an abundant number, since it is smaller than the sum of its proper divisors (186220492120).

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

122320133000 is a wasteful number, since it uses less digits than its factorization.

122320133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9004 (or 8990 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 122320133000 its reverse (331023221), we get a palindrome (122651156221).

The spelling of 122320133000 in words is "one hundred twenty-two billion, three hundred twenty million, one hundred thirty-three thousand".