132122140114420 has 192 divisors, whose sum is σ = 300993515827200. Its totient is φ = 48571309670400.

The previous prime is 132122140114411. The next prime is 132122140114421. The reversal of 132122140114420 is 24411041221231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132122140114421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5509438830 + ... + 5509462810.

It is an arithmetic number, because the mean of its divisors is an integer number (1567674561600).

Almost surely, 2^{132122140114420} is an apocalyptic number.

132122140114420 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 132122140114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150496757913600).

132122140114420 is an abundant number, since it is smaller than the sum of its proper divisors (168871375712780).

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

132122140114420 is a wasteful number, since it uses less digits than its factorization.

132122140114420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26786 (or 26784 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 132122140114420 its reverse (24411041221231), we get a palindrome (156533181335651).

The spelling of 132122140114420 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, one hundred forty million, one hundred fourteen thousand, four hundred twenty".