1122224400 has 360 divisors, whose sum is σ = 4501077984. Its totient is φ = 255897600.

The previous prime is 1122224399. The next prime is 1122224431. The reversal of 1122224400 is 44222211.

1122224400 is a `hidden beast` number, since 1 + 1 + 2 + 222 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 672367 + ... + 674033.

Almost surely, 2^1122224400 is an apocalyptic number.

1122224400 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 1122224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250538992).

1122224400 is an abundant number, since it is smaller than the sum of its proper divisors (3378853584).

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

1122224400 is a wasteful number, since it uses less digits than its factorization.

1122224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1122224400 is about 33499.6179082687. The cubic root of 1122224400 is about 1039.1858766684.

Adding to 1122224400 its reverse (44222211), we get a palindrome (1166446611).

It can be divided in two parts, 1122 and 224400, that added together give a palindrome (225522).

The spelling of 1122224400 in words is "one billion, one hundred twenty-two million, two hundred twenty-four thousand, four hundred".