32123320020000 has 1440 divisors, whose sum is σ = 133348459083840. Its totient is φ = 7246356480000.

The previous prime is 32123320019993. The next prime is 32123320020031. The reversal of 32123320020000 is 2002332123.

It is a happy number.

32123320020000 is a `hidden beast` number, since 32 + 1 + 233 + 200 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 239 ways as a sum of consecutive naturals, for example, 2995734639 + ... + 2995745361.

It is an arithmetic number, because the mean of its divisors is an integer number (92603096586).

Almost surely, 2^{32123320020000} is an apocalyptic number.

32123320020000 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 32123320020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66674229541920).

32123320020000 is an abundant number, since it is smaller than the sum of its proper divisors (101225139063840).

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

32123320020000 is a wasteful number, since it uses less digits than its factorization.

32123320020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10876 (or 10850 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 32123320020000 its reverse (2002332123), we get a palindrome (32125322352123).

The spelling of 32123320020000 in words is "thirty-two trillion, one hundred twenty-three billion, three hundred twenty million, twenty thousand".