112251 has 16 divisors (see below), whose sum is σ = 165888. Its totient is φ = 67200.

The previous prime is 112249. The next prime is 112253. The reversal of 112251 is 152211.

112251 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (112249) and next prime (112253).

It is not a de Polignac number, because 112251 - 2¹ = 112249 is a prime.

112251 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (112253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1546 + ... + 1616.

It is an arithmetic number, because the mean of its divisors is an integer number (10368).

2¹¹²²⁵¹ is an apocalyptic number.

112251 is a deficient number, since it is larger than the sum of its proper divisors (53637).

112251 is a wasteful number, since it uses less digits than its factorization.

112251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122.

The product of its digits is 20, while the sum is 12.

The square root of 112251 is about 335.0388037228. The cubic root of 112251 is about 48.2388270907.

Adding to 112251 its reverse (152211), we get a palindrome (264462).

It can be divided in two parts, 112 and 251, that added together give a palindrome (363).

The spelling of 112251 in words is "one hundred twelve thousand, two hundred fifty-one".