1122668800 has 216 divisors, whose sum is σ = 3120550272. Its totient is φ = 396288000.

The previous prime is 1122668783. The next prime is 1122668803. The reversal of 1122668800 is 88662211.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (1122668803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2604585 + ... + 2605015.

It is an arithmetic number, because the mean of its divisors is an integer number (14446992).

Almost surely, 2^1122668800 is an apocalyptic number.

1122668800 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 1122668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560275136).

1122668800 is an abundant number, since it is smaller than the sum of its proper divisors (1997881472).

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

1122668800 is a wasteful number, since it uses less digits than its factorization.

1122668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 1122668800 is about 33506.2501632158. The cubic root of 1122668800 is about 1039.3230308352.

The spelling of 1122668800 in words is "one billion, one hundred twenty-two million, six hundred sixty-eight thousand, eight hundred".