112132301121000 has 768 divisors, whose sum is σ = 433840110912000. Its totient is φ = 25941183897600.

The previous prime is 112132301120969. The next prime is 112132301121023. The reversal of 112132301121000 is 121103231211.

112132301121000 is a `hidden beast` number, since 1 + 1 + 213 + 230 + 11 + 210 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107037741 + ... + 108080259.

It is an arithmetic number, because the mean of its divisors is an integer number (564895977750).

Almost surely, 2^{112132301121000} is an apocalyptic number.

112132301121000 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 112132301121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216920055456000).

112132301121000 is an abundant number, since it is smaller than the sum of its proper divisors (321707809791000).

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

112132301121000 is a wasteful number, since it uses less digits than its factorization.

112132301121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042619 (or 1042602 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112132301121000 its reverse (121103231211), we get a palindrome (112253404352211).

The spelling of 112132301121000 in words is "one hundred twelve trillion, one hundred thirty-two billion, three hundred one million, one hundred twenty-one thousand".