122321133302000 has 160 divisors (see below), whose sum is σ = 301066361144640. Its totient is φ = 48059526681600.

The previous prime is 122321133301987. The next prime is 122321133302003. The reversal of 122321133302000 is 203331123221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122321133302003) 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 31 ways as a sum of consecutive naturals, for example, 26588306 + ... + 30847694.

It is an arithmetic number, because the mean of its divisors is an integer number (1881664757154).

Almost surely, 2^{122321133302000} is an apocalyptic number.

122321133302000 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 122321133302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150533180572320).

122321133302000 is an abundant number, since it is smaller than the sum of its proper divisors (178745227842640).

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

122321133302000 is a wasteful number, since it uses less digits than its factorization.

122321133302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259668 (or 4259652 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 122321133302000 its reverse (203331123221), we get a palindrome (122524464425221).

The spelling of 122321133302000 in words is "one hundred twenty-two trillion, three hundred twenty-one billion, one hundred thirty-three million, three hundred two thousand".