32112302404224 has 256 divisors, whose sum is σ = 99383461401600. Its totient is φ = 8996925849600.

The previous prime is 32112302404213. The next prime is 32112302404241. The reversal of 32112302404224 is 42240420321123.

It is a junction number, because it is equal to n+sod(n) for n = 32112302404191 and 32112302404200.

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, 63342919 + ... + 63847865.

It is an arithmetic number, because the mean of its divisors is an integer number (388216646100).

Almost surely, 2^{32112302404224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32112302404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49691730700800).

32112302404224 is an abundant number, since it is smaller than the sum of its proper divisors (67271158997376).

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

32112302404224 is a wasteful number, since it uses less digits than its factorization.

32112302404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505431 (or 505419 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 32112302404224 its reverse (42240420321123), we get a palindrome (74352722725347).

The spelling of 32112302404224 in words is "thirty-two trillion, one hundred twelve billion, three hundred two million, four hundred four thousand, two hundred twenty-four".