112351200 has 216 divisors, whose sum is σ = 397427688. Its totient is φ = 27555840.

The previous prime is 112351171. The next prime is 112351201. The reversal of 112351200 is 2153211.

It is a super-3 number, since 3×112351200³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112351200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112351201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 405462 + ... + 405738.

It is an arithmetic number, because the mean of its divisors is an integer number (1839943).

Almost surely, 2^112351200 is an apocalyptic number.

112351200 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 112351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198713844).

112351200 is an abundant number, since it is smaller than the sum of its proper divisors (285076488).

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

112351200 is a wasteful number, since it uses less digits than its factorization.

112351200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 112351200 is about 10599.5848975325. The cubic root of 112351200 is about 482.5317616254.

The spelling of 112351200 in words is "one hundred twelve million, three hundred fifty-one thousand, two hundred".