32412304120020 has 768 divisors, whose sum is σ = 107539098992640. Its totient is φ = 7218693734400.

The previous prime is 32412304119959. The next prime is 32412304120033. The reversal of 32412304120020 is 2002140321423.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6118990012 + ... + 6118995308.

It is an arithmetic number, because the mean of its divisors is an integer number (140024868480).

Almost surely, 2^{32412304120020} is an apocalyptic number.

32412304120020 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 32412304120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53769549496320).

32412304120020 is an abundant number, since it is smaller than the sum of its proper divisors (75126794872620).

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

32412304120020 is a wasteful number, since it uses less digits than its factorization.

32412304120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5584 (or 5582 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 32412304120020 its reverse (2002140321423), we get a palindrome (34414444441443).

The spelling of 32412304120020 in words is "thirty-two trillion, four hundred twelve billion, three hundred four million, one hundred twenty thousand, twenty".