132420122120 has 128 divisors (see below), whose sum is σ = 350190449280. Its totient is φ = 44428800000.

The previous prime is 132420122113. The next prime is 132420122143. The reversal of 132420122120 is 21221024231.

It is a super-4 number, since 4×132420122120⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132420122092 and 132420122101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18592160 + ... + 18599280.

It is an arithmetic number, because the mean of its divisors is an integer number (2735862885).

Almost surely, 2^132420122120 is an apocalyptic number.

132420122120 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 132420122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175095224640).

132420122120 is an abundant number, since it is smaller than the sum of its proper divisors (217770327160).

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

132420122120 is a wasteful number, since it uses less digits than its factorization.

132420122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10407 (or 10403 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 132420122120 its reverse (21221024231), we get a palindrome (153641146351).

The spelling of 132420122120 in words is "one hundred thirty-two billion, four hundred twenty million, one hundred twenty-two thousand, one hundred twenty".