32112314344020 has 192 divisors, whose sum is σ = 95294018856960. Its totient is φ = 8057297318400.

The previous prime is 32112314344007. The next prime is 32112314344027. The reversal of 32112314344020 is 2044341321123.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32112314344027) by changing a digit.

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, 99078630 + ... + 99402210.

It is an arithmetic number, because the mean of its divisors is an integer number (496323014880).

Almost surely, 2^{32112314344020} is an apocalyptic number.

32112314344020 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 32112314344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47647009428480).

32112314344020 is an abundant number, since it is smaller than the sum of its proper divisors (63181704512940).

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

32112314344020 is a wasteful number, since it uses less digits than its factorization.

32112314344020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324206 (or 324204 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 32112314344020 its reverse (2044341321123), we get a palindrome (34156655665143).

The spelling of 32112314344020 in words is "thirty-two trillion, one hundred twelve billion, three hundred fourteen million, three hundred forty-four thousand, twenty".