132122313120 has 192 divisors, whose sum is σ = 476228229120. Its totient is φ = 30162060288.

The previous prime is 132122313091. The next prime is 132122313121. The reversal of 132122313120 is 21313221231.

132122313120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (132122313121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2741391 + ... + 2789169.

It is an arithmetic number, because the mean of its divisors is an integer number (2480355360).

Almost surely, 2^132122313120 is an apocalyptic number.

132122313120 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 132122313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238114114560).

132122313120 is an abundant number, since it is smaller than the sum of its proper divisors (344105916000).

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

132122313120 is a wasteful number, since it uses less digits than its factorization.

132122313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48627 (or 48619 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 132122313120 its reverse (21313221231), we get a palindrome (153435534351).

The spelling of 132122313120 in words is "one hundred thirty-two billion, one hundred twenty-two million, three hundred thirteen thousand, one hundred twenty".