1122883200 has 288 divisors, whose sum is σ = 4051407360. Its totient is φ = 296110080.

The previous prime is 1122883199. The next prime is 1122883211. The reversal of 1122883200 is 23882211.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3657447 + ... + 3657753.

Almost surely, 2^1122883200 is an apocalyptic number.

1122883200 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 1122883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025703680).

1122883200 is an abundant number, since it is smaller than the sum of its proper divisors (2928524160).

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

1122883200 is a wasteful number, since it uses less digits than its factorization.

1122883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1122883200 is about 33509.4494135609. The cubic root of 1122883200 is about 1039.3891876793.

The spelling of 1122883200 in words is "one billion, one hundred twenty-two million, eight hundred eighty-three thousand, two hundred".