112151341005600 has 432 divisors, whose sum is σ = 403704232025472. Its totient is φ = 27019107348480.

The previous prime is 112151341005533. The next prime is 112151341005617. The reversal of 112151341005600 is 6500143151211.

112151341005600 is digitally balanced in base 3, 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 (30).

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 71 ways as a sum of consecutive naturals, for example, 16121634 + ... + 22004766.

It is an arithmetic number, because the mean of its divisors is an integer number (934500537096).

Almost surely, 2^{112151341005600} is an apocalyptic number.

112151341005600 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 112151341005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201852116012736).

112151341005600 is an abundant number, since it is smaller than the sum of its proper divisors (291552891019872).

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

112151341005600 is a wasteful number, since it uses less digits than its factorization.

112151341005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883229 (or 5883203 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

Adding to 112151341005600 its reverse (6500143151211), we get a palindrome (118651484156811).

The spelling of 112151341005600 in words is "one hundred twelve trillion, one hundred fifty-one billion, three hundred forty-one million, five thousand, six hundred".