1321114324200 has 288 divisors, whose sum is σ = 4503760699200. Its totient is φ = 320117529600.

The previous prime is 1321114324157. The next prime is 1321114324241. The reversal of 1321114324200 is 24234111231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 258380844 + ... + 258385956.

Almost surely, 2^{1321114324200} is an apocalyptic number.

1321114324200 is a gapful number since it is divisible by the number (10) 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 1321114324200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251880349600).

1321114324200 is an abundant number, since it is smaller than the sum of its proper divisors (3182646375000).

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

1321114324200 is a wasteful number, since it uses less digits than its factorization.

1321114324200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8713 (or 8693 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1321114324200 its reverse (24234111231), we get a palindrome (1345348435431).

The spelling of 1321114324200 in words is "one trillion, three hundred twenty-one billion, one hundred fourteen million, three hundred twenty-four thousand, two hundred".