432299353122 has 270 divisors, whose sum is σ = 1189444410999. Its totient is φ = 113142687840.

The previous prime is 432299353097. The next prime is 432299353139. The reversal of 432299353122 is 221353992234.

432299353122 is a `hidden beast` number, since 4 + 3 + 2 + 2 + 9 + 93 + 531 + 22 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7568001 + 432291785121 = 2751^2 + 657489^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=464919.

It is a super-2 number, since 2×432299353122² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3299994997 + ... + 3299995127.

Almost surely, 2^432299353122 is an apocalyptic number.

432299353122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 432299353122

432299353122 is an abundant number, since it is smaller than the sum of its proper divisors (757145057877).

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

432299353122 is an equidigital number, since it uses as much as digits as its factorization.

432299353122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 156 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 432299353122 in words is "four hundred thirty-two billion, two hundred ninety-nine million, three hundred fifty-three thousand, one hundred twenty-two".