112141041302400 has 384 divisors, whose sum is σ = 403338967689600. Its totient is φ = 27159002112000.

The previous prime is 112141041302377. The next prime is 112141041302401. The reversal of 112141041302400 is 4203140141211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×112141041302400² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112141041302401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107085330 + ... + 108127470.

It is an arithmetic number, because the mean of its divisors is an integer number (1050361895025).

Almost surely, 2^{112141041302400} is an apocalyptic number.

112141041302400 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 112141041302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201669483844800).

112141041302400 is an abundant number, since it is smaller than the sum of its proper divisors (291197926387200).

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

112141041302400 is a wasteful number, since it uses less digits than its factorization.

112141041302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043198 (or 1043181 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 112141041302400 its reverse (4203140141211), we get a palindrome (116344181443611).

The spelling of 112141041302400 in words is "one hundred twelve trillion, one hundred forty-one billion, forty-one million, three hundred two thousand, four hundred".