122300332113300 has 288 divisors, whose sum is σ = 393606727557120. Its totient is φ = 29067049689600.

The previous prime is 122300332113221. The next prime is 122300332113361. The reversal of 122300332113300 is 3311233003221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230428029 + ... + 230958171.

It is an arithmetic number, because the mean of its divisors is an integer number (1366690026240).

Almost surely, 2^{122300332113300} is an apocalyptic number.

122300332113300 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 122300332113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196803363778560).

122300332113300 is an abundant number, since it is smaller than the sum of its proper divisors (271306395443820).

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

122300332113300 is a wasteful number, since it uses less digits than its factorization.

122300332113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531543 (or 531536 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 122300332113300 its reverse (3311233003221), we get a palindrome (125611565116521).

The spelling of 122300332113300 in words is "one hundred twenty-two trillion, three hundred billion, three hundred thirty-two million, one hundred thirteen thousand, three hundred".