122330013300 has 216 divisors, whose sum is σ = 422135794080. Its totient is φ = 29383430400.

The previous prime is 122330013241. The next prime is 122330013317. The reversal of 122330013300 is 3310033221.

122330013300 is a `hidden beast` number, since 1 + 2 + 2 + 330 + 0 + 1 + 330 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1022419 + ... + 1135781.

It is an arithmetic number, because the mean of its divisors is an integer number (1954332380).

Almost surely, 2^122330013300 is an apocalyptic number.

122330013300 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 122330013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211067897040).

122330013300 is an abundant number, since it is smaller than the sum of its proper divisors (299805780780).

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

122330013300 is a wasteful number, since it uses less digits than its factorization.

122330013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113503 (or 113493 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 122330013300 its reverse (3310033221), we get a palindrome (125640046521).

The spelling of 122330013300 in words is "one hundred twenty-two billion, three hundred thirty million, thirteen thousand, three hundred".