132222020032032 has 288 divisors, whose sum is σ = 409830205292928. Its totient is φ = 36557155934208.

The previous prime is 132222020031971. The next prime is 132222020032099. The reversal of 132222020032032 is 230230020222231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 132222020031993 and 132222020032011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137318538 + ... + 138278070.

It is an arithmetic number, because the mean of its divisors is an integer number (1423021546156).

Almost surely, 2^{132222020032032} is an apocalyptic number.

132222020032032 is a gapful number since it is divisible by the number (12) 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 132222020032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204915102646464).

132222020032032 is an abundant number, since it is smaller than the sum of its proper divisors (277608185260896).

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

132222020032032 is an equidigital number, since it uses as much as digits as its factorization.

132222020032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959732 (or 959671 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 132222020032032 its reverse (230230020222231), we get a palindrome (362452040254263).

The spelling of 132222020032032 in words is "one hundred thirty-two trillion, two hundred twenty-two billion, twenty million, thirty-two thousand, thirty-two".