112119 has 16 divisors (see below), whose sum is σ = 180480. Its totient is φ = 60480.

The previous prime is 112111. The next prime is 112121. The reversal of 112119 is 911211.

112119 = T₉₉ + T₁₀₀ + ... + T₁₁₇.

It is not a de Polignac number, because 112119 - 2³ = 112111 is a prime.

It is a super-2 number, since 2×112119² = 25141340322, which contains 22 as substring.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 112098 and 112107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (11280).

2¹¹²¹¹⁹ is an apocalyptic number.

112119 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

112119 is a deficient number, since it is larger than the sum of its proper divisors (68361).

112119 is a wasteful number, since it uses less digits than its factorization.

112119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310.

The product of its digits is 18, while the sum is 15.

The square root of 112119 is about 334.8417536688. The cubic root of 112119 is about 48.2199110818.

Subtracting from 112119 its product of digits (18), we obtain a triangular number (112101 = T₄₇₃).

It can be divided in two parts, 112 and 119, that added together give a triangular number (231 = T₂₁).

The spelling of 112119 in words is "one hundred twelve thousand, one hundred nineteen".