112167000 has 288 divisors, whose sum is σ = 420769440. Its totient is φ = 26928000.

The previous prime is 112166987. The next prime is 112167001. The reversal of 112167000 is 761211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112167001) 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 71 ways as a sum of consecutive naturals, for example, 1088949 + ... + 1089051.

It is an arithmetic number, because the mean of its divisors is an integer number (1461005).

Almost surely, 2^112167000 is an apocalyptic number.

112167000 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 112167000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210384720).

112167000 is an abundant number, since it is smaller than the sum of its proper divisors (308602440).

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

112167000 is a wasteful number, since it uses less digits than its factorization.

112167000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 112167000 is about 10590.8923136816. The cubic root of 112167000 is about 482.2679134747.

It can be divided in two parts, 1121 and 67000, that added together give a square (68121 = 261²).

The spelling of 112167000 in words is "one hundred twelve million, one hundred sixty-seven thousand".