32302130320000 has 160 divisors (see below), whose sum is σ = 81732411396900. Its totient is φ = 12709032960000.

The previous prime is 32302130319917. The next prime is 32302130320003. The reversal of 32302130320000 is 2303120323.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 16741125094464 + 15561005225536 = 4091592^2 + 3944744^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 32302130320000.

It is not an unprimeable number, because it can be changed into a prime (32302130320003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1570356 + ... + 8189644.

Almost surely, 2^{32302130320000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32302130320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40866205698450).

32302130320000 is an abundant number, since it is smaller than the sum of its proper divisors (49430281076900).

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

32302130320000 is an frugal number, since it uses more digits than its factorization.

32302130320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6619384 (or 6619357 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 32302130320000 its reverse (2303120323), we get a palindrome (32304433440323).

The spelling of 32302130320000 in words is "thirty-two trillion, three hundred two billion, one hundred thirty million, three hundred twenty thousand".