1324145113200 has 960 divisors, whose sum is σ = 5935672314880. Its totient is φ = 272874147840.

The previous prime is 1324145113177. The next prime is 1324145113219. The reversal of 1324145113200 is 23115414231.

1324145113200 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 1 + 451 + 1 + 3 + 200 = 666.

It is a super-2 number, since 2×1324145113200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 42244734 + ... + 42276066.

Almost surely, 2^{1324145113200} is an apocalyptic number.

1324145113200 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 1324145113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967836157440).

1324145113200 is an abundant number, since it is smaller than the sum of its proper divisors (4611527201680).

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

1324145113200 is a wasteful number, since it uses less digits than its factorization.

1324145113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31423 (or 31406 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 1324145113200 in words is "one trillion, three hundred twenty-four billion, one hundred forty-five million, one hundred thirteen thousand, two hundred".