30132023200000 has 108 divisors (see below), whose sum is σ = 75178119268980. Its totient is φ = 12052808960000.

The previous prime is 30132023199977. The next prime is 30132023200009. The reversal of 30132023200000 is 232023103.

It can be written as a sum of positive squares in 6 ways, for example, as 16755858065664 + 13376165134336 = 4093392^2 + 3657344^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (30132023200009) 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 11 ways as a sum of consecutive naturals, for example, 18032515 + ... + 19632514.

It is an arithmetic number, because the mean of its divisors is an integer number (696093696935).

Almost surely, 2^{30132023200000} is an apocalyptic number.

It is an amenable number.

30132023200000 is an abundant number, since it is smaller than the sum of its proper divisors (45046096068980).

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

30132023200000 is an frugal number, since it uses more digits than its factorization.

30132023200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37665070 (or 37665036 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 30132023200000 its reverse (232023103), we get a palindrome (30132255223103).

The spelling of 30132023200000 in words is "thirty trillion, one hundred thirty-two billion, twenty-three million, two hundred thousand".