321140131200 has 576 divisors, whose sum is σ = 1366560748800. Its totient is φ = 70210990080.

The previous prime is 321140131187. The next prime is 321140131237. The reversal of 321140131200 is 2131041123.

321140131200 is a `hidden beast` number, since 3 + 211 + 401 + 31 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 4602171 + ... + 4671429.

It is an arithmetic number, because the mean of its divisors is an integer number (2372501300).

Almost surely, 2^321140131200 is an apocalyptic number.

321140131200 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 321140131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683280374400).

321140131200 is an abundant number, since it is smaller than the sum of its proper divisors (1045420617600).

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

321140131200 is a wasteful number, since it uses less digits than its factorization.

321140131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69319 (or 69299 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 321140131200 its reverse (2131041123), we get a palindrome (323271172323).

The spelling of 321140131200 in words is "three hundred twenty-one billion, one hundred forty million, one hundred thirty-one thousand, two hundred".