112201200 has 150 divisors (see below), whose sum is σ = 402797384. Its totient is φ = 29911680.

The previous prime is 112201189. The next prime is 112201211. The reversal of 112201200 is 2102211.

It is an interprime number because it is at equal distance from previous prime (112201189) and next prime (112201211).

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, 30669 + ... + 34131.

Almost surely, 2^112201200 is an apocalyptic number.

112201200 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 112201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201398692).

112201200 is an abundant number, since it is smaller than the sum of its proper divisors (290596184).

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

112201200 is a wasteful number, since it uses less digits than its factorization.

112201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3473 counting only the distinct ones).

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

The square root of 112201200 is about 10592.5067854592. The cubic root of 112201200 is about 482.3169233933.

Adding to 112201200 its reverse (2102211), we get a palindrome (114303411).

The spelling of 112201200 in words is "one hundred twelve million, two hundred one thousand, two hundred".