112969259880 has 512 divisors, whose sum is σ = 385743168000. Its totient is φ = 26336378880.

The previous prime is 112969259833. The next prime is 112969259933. The reversal of 112969259880 is 88952969211.

It is a Cunningham number, because it is equal to 336109²-1.

It is a super-2 number, since 2×112969259880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 149232462 + ... + 149233218.

It is an arithmetic number, because the mean of its divisors is an integer number (753404625).

Almost surely, 2^112969259880 is an apocalyptic number.

112969259880 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 112969259880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192871584000).

112969259880 is an abundant number, since it is smaller than the sum of its proper divisors (272773908120).

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

112969259880 is a wasteful number, since it uses less digits than its factorization.

112969259880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 60.

The spelling of 112969259880 in words is "one hundred twelve billion, nine hundred sixty-nine million, two hundred fifty-nine thousand, eight hundred eighty".