32112123321000 has 256 divisors, whose sum is σ = 100348676064000. Its totient is φ = 8549667840000.

The previous prime is 32112123320987. The next prime is 32112123321011. The reversal of 32112123321000 is 12332121123.

It is a super-2 number, since 2×32112123321000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8814745179 + ... + 8814748821.

It is an arithmetic number, because the mean of its divisors is an integer number (391987015875).

Almost surely, 2^{32112123321000} is an apocalyptic number.

32112123321000 is a gapful number since it is divisible by the number (30) 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 32112123321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50174338032000).

32112123321000 is an abundant number, since it is smaller than the sum of its proper divisors (68236552743000).

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

32112123321000 is a wasteful number, since it uses less digits than its factorization.

32112123321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7517 (or 7503 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 32112123321000 its reverse (12332121123), we get a palindrome (32124455442123).

The spelling of 32112123321000 in words is "thirty-two trillion, one hundred twelve billion, one hundred twenty-three million, three hundred twenty-one thousand".