1122220800 has 162 divisors, whose sum is σ = 4012398572. Its totient is φ = 299243520.

The previous prime is 1122220753. The next prime is 1122220811. The reversal of 1122220800 is 80222211.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47859 + ... + 67341.

Almost surely, 2^1122220800 is an apocalyptic number.

1122220800 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 1122220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006199286).

1122220800 is an abundant number, since it is smaller than the sum of its proper divisors (2890177772).

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

1122220800 is a wasteful number, since it uses less digits than its factorization.

1122220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19515 (or 19493 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1122220800 is about 33499.5641762695. The cubic root of 1122220800 is about 1039.1847654607.

The spelling of 1122220800 in words is "one billion, one hundred twenty-two million, two hundred twenty thousand, eight hundred".