1120182624 has 144 divisors (see below), whose sum is σ = 3488546880. Its totient is φ = 338138880.

The previous prime is 1120182611. The next prime is 1120182653. The reversal of 1120182624 is 4262810211.

1120182624 is a `hidden beast` number, since 1 + 1 + 20 + 18 + 2 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1120182624² = 2509618222223050752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1098787 + ... + 1099805.

It is an arithmetic number, because the mean of its divisors is an integer number (24226020).

Almost surely, 2^1120182624 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 1120182624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744273440).

1120182624 is an abundant number, since it is smaller than the sum of its proper divisors (2368364256).

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

1120182624 is a wasteful number, since it uses less digits than its factorization.

1120182624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1120182624 is about 33469.1294180174. The cubic root of 1120182624 is about 1038.5552621861. Note that the first 3 decimals are identical.

Adding to 1120182624 its reverse (4262810211), we get a palindrome (5382992835).

The spelling of 1120182624 in words is "one billion, one hundred twenty million, one hundred eighty-two thousand, six hundred twenty-four".