1122326400 has 576 divisors, whose sum is σ = 4406436720. Its totient is φ = 248709120.

The previous prime is 1122326399. The next prime is 1122326437. The reversal of 1122326400 is 46232211.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 48796789 + ... + 48796811.

Almost surely, 2^1122326400 is an apocalyptic number.

1122326400 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 1122326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203218360).

1122326400 is an abundant number, since it is smaller than the sum of its proper divisors (3284110320).

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

1122326400 is a wasteful number, since it uses less digits than its factorization.

1122326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1122326400 is about 33501.1402791009. The cubic root of 1122326400 is about 1039.2173598988.

Adding to 1122326400 its reverse (46232211), we get a palindrome (1168558611).

The spelling of 1122326400 in words is "one billion, one hundred twenty-two million, three hundred twenty-six thousand, four hundred".