1124982144 has 192 divisors, whose sum is σ = 3803763600. Its totient is φ = 314634240.

The previous prime is 1124982143. The next prime is 1124982179. The reversal of 1124982144 is 4412894211.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1124982099 and 1124982108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124982143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161322 + ... + 168150.

Almost surely, 2^1124982144 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 1124982144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901881800).

1124982144 is an abundant number, since it is smaller than the sum of its proper divisors (2678781456).

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

1124982144 is a wasteful number, since it uses less digits than its factorization.

1124982144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6873 (or 6858 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1124982144 is about 33540.7534799086. The cubic root of 1124982144 is about 1040.0364089818.

The spelling of 1124982144 in words is "one billion, one hundred twenty-four million, nine hundred eighty-two thousand, one hundred forty-four".