112729034880 has 1280 divisors, whose sum is σ = 518672056320. Its totient is φ = 22643712000.

The previous prime is 112729034879. The next prime is 112729034921. The reversal of 112729034880 is 88430927211.

It is a happy number.

112729034880 is a `hidden beast` number, since 1 + 12 + 7 + 290 + 348 + 8 + 0 = 666.

It is a super-2 number, since 2×112729034880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 123741625 + ... + 123742535.

It is an arithmetic number, because the mean of its divisors is an integer number (405212544).

Almost surely, 2^112729034880 is an apocalyptic number.

112729034880 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 112729034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259336028160).

112729034880 is an abundant number, since it is smaller than the sum of its proper divisors (405943021440).

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

112729034880 is a wasteful number, since it uses less digits than its factorization.

112729034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 112729034880 in words is "one hundred twelve billion, seven hundred twenty-nine million, thirty-four thousand, eight hundred eighty".