32301000000000 has 1200 divisors, whose sum is σ = 120911794259256. Its totient is φ = 8294400000000.

The previous prime is 32300999999999. The next prime is 32301000000019. The reversal of 32301000000000 is 10323.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 14737122498816 + 17563877501184 = 3838896^2 + 4190928^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 332999999952 + ... + 333000000048.

Almost surely, 2^{32301000000000} is an apocalyptic number.

32301000000000 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 32301000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60455897129628).

32301000000000 is an abundant number, since it is smaller than the sum of its proper divisors (88610794259256).

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

32301000000000 is an frugal number, since it uses more digits than its factorization.

32301000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 32301000000000 its reverse (10323), we get a palindrome (32301000010323).

The spelling of 32301000000000 in words is "thirty-two trillion, three hundred one billion", and thus it is an aban number.