1122112200 has 384 divisors, whose sum is σ = 4102773120. Its totient is φ = 250675200.

The previous prime is 1122112193. The next prime is 1122112207. The reversal of 1122112200 is 22112211.

It is an interprime number because it is at equal distance from previous prime (1122112193) and next prime (1122112207).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (1122112207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8190532 + ... + 8190668.

It is an arithmetic number, because the mean of its divisors is an integer number (10684305).

Almost surely, 2^1122112200 is an apocalyptic number.

1122112200 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 1122112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051386560).

1122112200 is an abundant number, since it is smaller than the sum of its proper divisors (2980660920).

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

1122112200 is a wasteful number, since it uses less digits than its factorization.

1122112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1122112200 is about 33497.9432204427. The cubic root of 1122112200 is about 1039.1512429114.

Adding to 1122112200 its reverse (22112211), we get a palindrome (1144224411).

It can be divided in two parts, 112211 and 2200, that added together give a palindrome (114411).

The spelling of 1122112200 in words is "one billion, one hundred twenty-two million, one hundred twelve thousand, two hundred".