122132333313120 has 576 divisors, whose sum is σ = 437314264934400. Its totient is φ = 28600412405760.

The previous prime is 122132333313113. The next prime is 122132333313149. The reversal of 122132333313120 is 21313333231221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 147956896 + ... + 148780064.

It is an arithmetic number, because the mean of its divisors is an integer number (759226154400).

Almost surely, 2^{122132333313120} is an apocalyptic number.

122132333313120 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 122132333313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218657132467200).

122132333313120 is an abundant number, since it is smaller than the sum of its proper divisors (315181931621280).

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

122132333313120 is a wasteful number, since it uses less digits than its factorization.

122132333313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823303 (or 823282 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 122132333313120 its reverse (21313333231221), we get a palindrome (143445666544341).

The spelling of 122132333313120 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, three hundred thirty-three million, three hundred thirteen thousand, one hundred twenty".