1122544000 has 128 divisors (see below), whose sum is σ = 2955813120. Its totient is φ = 422502400.

The previous prime is 1122543973. The next prime is 1122544013. The reversal of 1122544000 is 4452211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269937 + ... + 274063.

It is an arithmetic number, because the mean of its divisors is an integer number (23092290).

Almost surely, 2^1122544000 is an apocalyptic number.

1122544000 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 1122544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477906560).

1122544000 is an abundant number, since it is smaller than the sum of its proper divisors (1833269120).

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

1122544000 is an equidigital number, since it uses as much as digits as its factorization.

1122544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1122544000 is about 33504.3877723501. The cubic root of 1122544000 is about 1039.2845177490.

Adding to 1122544000 its reverse (4452211), we get a palindrome (1126996211).

It can be divided in two parts, 11225 and 44000, that added together give a square (55225 = 235²).

The spelling of 1122544000 in words is "one billion, one hundred twenty-two million, five hundred forty-four thousand".