1324412113200 has 240 divisors, whose sum is σ = 4629180606336. Its totient is φ = 321002854400.

The previous prime is 1324412113153. The next prime is 1324412113231. The reversal of 1324412113200 is 23112144231.

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

It is a super-2 number, since 2×1324412113200² (a number of 25 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99296932 + ... + 99310268.

Almost surely, 2^{1324412113200} is an apocalyptic number.

1324412113200 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 1324412113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314590303168).

1324412113200 is an abundant number, since it is smaller than the sum of its proper divisors (3304768493136).

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

1324412113200 is a wasteful number, since it uses less digits than its factorization.

1324412113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20892 (or 20881 counting only the distinct ones).

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

Adding to 1324412113200 its reverse (23112144231), we get a palindrome (1347524257431).

The spelling of 1324412113200 in words is "one trillion, three hundred twenty-four billion, four hundred twelve million, one hundred thirteen thousand, two hundred".