1123200 has 192 divisors, whose sum is σ = 4426800. Its totient is φ = 276480.

The previous prime is 1123189. The next prime is 1123211. The reversal of 1123200 is 23211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1123189) and next prime (1123211).

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 86394 + ... + 86406.

2^1123200 is an apocalyptic number.

1123200 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 1123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213400).

1123200 is an abundant number, since it is smaller than the sum of its proper divisors (3303600).

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

1123200 is a wasteful number, since it uses less digits than its factorization.

1123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1123200 is about 1059.8113039593. The cubic root of 1123200 is about 103.9486926409.

Adding to 1123200 its reverse (23211), we get a palindrome (1146411).

It can be divided in two parts, 1 and 123200, that added together give a square (123201 = 351²).

The spelling of 1123200 in words is "one million, one hundred twenty-three thousand, two hundred".