112410000 has 150 divisors (see below), whose sum is σ = 393428750. Its totient is φ = 29952000.

The previous prime is 112409963. The next prime is 112410013. The reversal of 112410000 is 14211.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 49112064 + 63297936 = 7008^2 + 7956^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89376 + ... + 90624.

Almost surely, 2^112410000 is an apocalyptic number.

112410000 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 112410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196714375).

112410000 is an abundant number, since it is smaller than the sum of its proper divisors (281018750).

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

112410000 is a wasteful number, since it uses less digits than its factorization.

112410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 112410000 is about 10602.3582282434. The cubic root of 112410000 is about 482.6159260411.

Adding to 112410000 its reverse (14211), we get a palindrome (112424211).

The spelling of 112410000 in words is "one hundred twelve million, four hundred ten thousand".