1124000444224 has 168 divisors, whose sum is σ = 2607879053472. Its totient is φ = 479254164480.

The previous prime is 1124000444183. The next prime is 1124000444249. The reversal of 1124000444224 is 4224440004211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1124000444192 and 1124000444201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 959863159 + ... + 959864329.

It is an arithmetic number, because the mean of its divisors is an integer number (15523089604).

Almost surely, 2^{1124000444224} is an apocalyptic number.

1124000444224 is a gapful number since it is divisible by the number (14) 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 1124000444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303939526736).

1124000444224 is an abundant number, since it is smaller than the sum of its proper divisors (1483878609248).

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

1124000444224 is a wasteful number, since it uses less digits than its factorization.

1124000444224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 1124000444224 its reverse (4224440004211), we get a palindrome (5348440448435).

The spelling of 1124000444224 in words is "one trillion, one hundred twenty-four billion, four hundred forty-four thousand, two hundred twenty-four".