32001000300000 has 432 divisors, whose sum is σ = 116820620751744. Its totient is φ = 8302953600000.

The previous prime is 32001000299993. The next prime is 32001000300077. The reversal of 32001000300000 is 300010023.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32819505 + ... + 33780495.

It is an arithmetic number, because the mean of its divisors is an integer number (270418103592).

Almost surely, 2^{32001000300000} is an apocalyptic number.

32001000300000 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 32001000300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58410310375872).

32001000300000 is an abundant number, since it is smaller than the sum of its proper divisors (84819620451744).

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

32001000300000 is an equidigital number, since it uses as much as digits as its factorization.

32001000300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961069 (or 961038 counting only the distinct ones).

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

Adding to 32001000300000 its reverse (300010023), we get a palindrome (32001300310023).

The spelling of 32001000300000 in words is "thirty-two trillion, one billion, three hundred thousand".