32123110120320 has 512 divisors, whose sum is σ = 112309223362560. Its totient is φ = 7774558617600.

The previous prime is 32123110120313. The next prime is 32123110120363. The reversal of 32123110120320 is 2302101132123.

It is a congruent number.

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, 286294630 + ... + 286406810.

It is an arithmetic number, because the mean of its divisors is an integer number (219353951880).

Almost surely, 2^{32123110120320} is an apocalyptic number.

32123110120320 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 32123110120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56154611681280).

32123110120320 is an abundant number, since it is smaller than the sum of its proper divisors (80186113242240).

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

32123110120320 is a wasteful number, since it uses less digits than its factorization.

32123110120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112534 (or 112522 counting only the distinct ones).

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

Adding to 32123110120320 its reverse (2302101132123), we get a palindrome (34425211252443).

The spelling of 32123110120320 in words is "thirty-two trillion, one hundred twenty-three billion, one hundred ten million, one hundred twenty thousand, three hundred twenty".