112397129040 has 240 divisors, whose sum is σ = 418393935360. Its totient is φ = 24861957120.

The previous prime is 112397129017. The next prime is 112397129041. The reversal of 112397129040 is 40921793211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×112397129040² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112397129040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112397129041) 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, 210406 + ... + 518714.

It is an arithmetic number, because the mean of its divisors is an integer number (1743308064).

Almost surely, 2^112397129040 is an apocalyptic number.

112397129040 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 112397129040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209196967680).

112397129040 is an abundant number, since it is smaller than the sum of its proper divisors (305996806320).

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

112397129040 is a wasteful number, since it uses less digits than its factorization.

112397129040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308370 (or 308357 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 112397129040 in words is "one hundred twelve billion, three hundred ninety-seven million, one hundred twenty-nine thousand, forty".