323040132200000 has 84 divisors (see below), whose sum is σ = 801239670793044. Its totient is φ = 129216052800000.

The previous prime is 323040132199997. The next prime is 323040132200081. The reversal of 323040132200000 is 2231040323.

It can be written as a sum of positive squares in 6 ways, for example, as 244650641081344 + 78389491118656 = 15641312^2 + 8853784^2 .

It is a super-3 number, since 3×323040132200000³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 807400331 + ... + 807800330.

It is an arithmetic number, because the mean of its divisors is an integer number (9538567509441).

Almost surely, 2^{323040132200000} is an apocalyptic number.

It is an amenable number.

323040132200000 is an abundant number, since it is smaller than the sum of its proper divisors (478199538593044).

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

323040132200000 is an frugal number, since it uses more digits than its factorization.

323040132200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615200698 (or 1615200668 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 323040132200000 its reverse (2231040323), we get a palindrome (323042363240323).

The spelling of 323040132200000 in words is "three hundred twenty-three trillion, forty billion, one hundred thirty-two million, two hundred thousand".