1122952320 has 192 divisors, whose sum is σ = 4431810240. Its totient is φ = 256665600.

The previous prime is 1122952319. The next prime is 1122952343. The reversal of 1122952320 is 232592211.

It is a happy number.

1122952320 is a `hidden beast` number, since 112 + 2 + 9 + 523 + 20 = 666.

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

It is a super-2 number, since 2×1122952320² = 2522043825986764800, which contains 22 as substring.

It is an unprimeable number.

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, 26395 + ... + 54245.

It is an arithmetic number, because the mean of its divisors is an integer number (23082345).

Almost surely, 2^1122952320 is an apocalyptic number.

1122952320 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 1122952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215905120).

1122952320 is an abundant number, since it is smaller than the sum of its proper divisors (3308857920).

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

1122952320 is a wasteful number, since it uses less digits than its factorization.

1122952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27883 (or 27868 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1122952320 is about 33510.4807485658. The cubic root of 1122952320 is about 1039.4105140608.

The spelling of 1122952320 in words is "one billion, one hundred twenty-two million, nine hundred fifty-two thousand, three hundred twenty".