1122811200 has 672 divisors, whose sum is σ = 4837785600. Its totient is φ = 248002560.

The previous prime is 1122811163. The next prime is 1122811219. The reversal of 1122811200 is 21182211.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14212761 + ... + 14212839.

Almost surely, 2^1122811200 is an apocalyptic number.

1122811200 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 1122811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418892800).

1122811200 is an abundant number, since it is smaller than the sum of its proper divisors (3714974400).

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

1122811200 is a wasteful number, since it uses less digits than its factorization.

1122811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1122811200 is about 33508.3750725099. The cubic root of 1122811200 is about 1039.3669717679.

Adding to 1122811200 its reverse (21182211), we get a palindrome (1143993411).

The spelling of 1122811200 in words is "one billion, one hundred twenty-two million, eight hundred eleven thousand, two hundred".