1122466800 has 480 divisors, whose sum is σ = 4666923520. Its totient is φ = 223948800.

The previous prime is 1122466783. The next prime is 1122466801. The reversal of 1122466800 is 86642211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122466801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2074530 + ... + 2075070.

Almost surely, 2^1122466800 is an apocalyptic number.

1122466800 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 1122466800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333461760).

1122466800 is an abundant number, since it is smaller than the sum of its proper divisors (3544456720).

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

1122466800 is a wasteful number, since it uses less digits than its factorization.

1122466800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1122466800 is about 33503.2356646339. The cubic root of 1122466800 is about 1039.2606925198.

The spelling of 1122466800 in words is "one billion, one hundred twenty-two million, four hundred sixty-six thousand, eight hundred".