323121000001200 has 240 divisors, whose sum is σ = 1055071191538560. Its totient is φ = 84515028848640.

The previous prime is 323121000001187. The next prime is 323121000001211. The reversal of 323121000001200 is 2100000121323.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 323121000001200.

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 47 ways as a sum of consecutive naturals, for example, 2174664 + ... + 25514136.

It is an arithmetic number, because the mean of its divisors is an integer number (4396129964744).

Almost surely, 2^{323121000001200} is an apocalyptic number.

323121000001200 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 323121000001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527535595769280).

323121000001200 is an abundant number, since it is smaller than the sum of its proper divisors (731950191537360).

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

323121000001200 is a wasteful number, since it uses less digits than its factorization.

323121000001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23339716 (or 23339705 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 323121000001200 its reverse (2100000121323), we get a palindrome (325221000122523).

The spelling of 323121000001200 in words is "three hundred twenty-three trillion, one hundred twenty-one billion, one thousand, two hundred".