113201442024000 has 448 divisors, whose sum is σ = 410472798787584. Its totient is φ = 27261024000000.

The previous prime is 113201442023947. The next prime is 113201442024029. The reversal of 113201442024000 is 420244102311.

113201442024000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38444155 + ... + 41283845.

Almost surely, 2^{113201442024000} is an apocalyptic number.

113201442024000 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 113201442024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205236399393792).

113201442024000 is an abundant number, since it is smaller than the sum of its proper divisors (297271356763584).

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

113201442024000 is a wasteful number, since it uses less digits than its factorization.

113201442024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839883 (or 2839863 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 113201442024000 its reverse (420244102311), we get a palindrome (113621686126311).

The spelling of 113201442024000 in words is "one hundred thirteen trillion, two hundred one billion, four hundred forty-two million, twenty-four thousand".