112829190111 has 32 divisors (see below), whose sum is σ = 193076697600. Its totient is φ = 64358893440.

The previous prime is 112829190059. The next prime is 112829190143. The reversal of 112829190111 is 111091928211.

It is not a de Polignac number, because 112829190111 - 2¹¹ = 112829188063 is a prime.

It is a super-2 number, since 2×112829190111² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112829190211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11168371 + ... + 11178468.

It is an arithmetic number, because the mean of its divisors is an integer number (6033646800).

Almost surely, 2^112829190111 is an apocalyptic number.

112829190111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112829190111 is a deficient number, since it is larger than the sum of its proper divisors (80247507489).

112829190111 is a wasteful number, since it uses less digits than its factorization.

112829190111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22346876 (or 22346870 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 36.

The spelling of 112829190111 in words is "one hundred twelve billion, eight hundred twenty-nine million, one hundred ninety thousand, one hundred eleven".