1124242400 has 72 divisors (see below), whose sum is σ = 2783353104. Its totient is φ = 443340800.

The previous prime is 1124242367. The next prime is 1124242409. The reversal of 1124242400 is 42424211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124242409) 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 11 ways as a sum of consecutive naturals, for example, 46904 + ... + 66696.

It is an arithmetic number, because the mean of its divisors is an integer number (38657682).

Almost surely, 2^1124242400 is an apocalyptic number.

1124242400 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 1124242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391676552).

1124242400 is an abundant number, since it is smaller than the sum of its proper divisors (1659110704).

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

1124242400 is a wasteful number, since it uses less digits than its factorization.

1124242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19884 (or 19871 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1124242400 is about 33529.7241265120. The cubic root of 1124242400 is about 1039.8083966550.

Adding to 1124242400 its reverse (42424211), we get a palindrome (1166666611).

The spelling of 1124242400 in words is "one billion, one hundred twenty-four million, two hundred forty-two thousand, four hundred".