1248900224 has 192 divisors, whose sum is σ = 3062888640. Its totient is φ = 499968000.

The previous prime is 1248900217. The next prime is 1248900227. The reversal of 1248900224 is 4220098421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1248900227) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17590109 + ... + 17590179.

It is an arithmetic number, because the mean of its divisors is an integer number (15952545).

Almost surely, 2^1248900224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1248900224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531444320).

1248900224 is an abundant number, since it is smaller than the sum of its proper divisors (1813988416).

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

1248900224 is a wasteful number, since it uses less digits than its factorization.

1248900224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 1248900224 is about 35339.7824554708. The cubic root of 1248900224 is about 1076.9013329111.

Adding to 1248900224 its reverse (4220098421), we get a palindrome (5468998645).

The spelling of 1248900224 in words is "one billion, two hundred forty-eight million, nine hundred thousand, two hundred twenty-four".