112115101404000 has 384 divisors, whose sum is σ = 375806196380160. Its totient is φ = 29210284800000.

The previous prime is 112115101403999. The next prime is 112115101404001. The reversal of 112115101404000 is 404101511211.

It is an interprime number because it is at equal distance from previous prime (112115101403999) and next prime (112115101404001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112115101404001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114918250 + ... + 115889750.

It is an arithmetic number, because the mean of its divisors is an integer number (978661969740).

Almost surely, 2^{112115101404000} is an apocalyptic number.

112115101404000 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 112115101404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187903098190080).

112115101404000 is an abundant number, since it is smaller than the sum of its proper divisors (263691094976160).

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

112115101404000 is a wasteful number, since it uses less digits than its factorization.

112115101404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971751 (or 971733 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 21.

Adding to 112115101404000 its reverse (404101511211), we get a palindrome (112519202915211).

The spelling of 112115101404000 in words is "one hundred twelve trillion, one hundred fifteen billion, one hundred one million, four hundred four thousand".