13242132024000 has 448 divisors, whose sum is σ = 47719511603712. Its totient is φ = 3208939008000.

The previous prime is 13242132023951. The next prime is 13242132024041. The reversal of 13242132024000 is 42023124231.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 780639519 + ... + 780656481.

Almost surely, 2^{13242132024000} is an apocalyptic number.

13242132024000 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 13242132024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23859755801856).

13242132024000 is an abundant number, since it is smaller than the sum of its proper divisors (34477379579712).

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

13242132024000 is a wasteful number, since it uses less digits than its factorization.

13242132024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19961 (or 19941 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13242132024000 its reverse (42023124231), we get a palindrome (13284155148231).

The spelling of 13242132024000 in words is "thirteen trillion, two hundred forty-two billion, one hundred thirty-two million, twenty-four thousand".