122313333000 has 256 divisors, whose sum is σ = 403834429440. Its totient is φ = 30758112000.

The previous prime is 122313332989. The next prime is 122313333007. The reversal of 122313333000 is 333313221.

It is not an unprimeable number, because it can be changed into a prime (122313333007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4886517 + ... + 4911483.

It is an arithmetic number, because the mean of its divisors is an integer number (1577478240).

Almost surely, 2^122313333000 is an apocalyptic number.

122313333000 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 122313333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201917214720).

122313333000 is an abundant number, since it is smaller than the sum of its proper divisors (281521096440).

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

122313333000 is a wasteful number, since it uses less digits than its factorization.

122313333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25085 (or 25071 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 122313333000 its reverse (333313221), we get a palindrome (122646646221).

The spelling of 122313333000 in words is "one hundred twenty-two billion, three hundred thirteen million, three hundred thirty-three thousand".