1122441320 has 384 divisors, whose sum is σ = 3639202560. Its totient is φ = 300810240.

The previous prime is 1122441251. The next prime is 1122441329. The reversal of 1122441320 is 231442211.

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

It is a junction number, because it is equal to n+sod(n) for n = 1122441292 and 1122441301.

It is not an unprimeable number, because it can be changed into a prime (1122441329) 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 95 ways as a sum of consecutive naturals, for example, 11571512 + ... + 11571608.

It is an arithmetic number, because the mean of its divisors is an integer number (9477090).

Almost surely, 2^1122441320 is an apocalyptic number.

1122441320 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 1122441320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819601280).

1122441320 is an abundant number, since it is smaller than the sum of its proper divisors (2516761240).

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

1122441320 is a wasteful number, since it uses less digits than its factorization.

1122441320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1122441320 is about 33502.8554006968. The cubic root of 1122441320 is about 1039.2528287200.

Adding to 1122441320 its reverse (231442211), we get a palindrome (1353883531).

The spelling of 1122441320 in words is "one billion, one hundred twenty-two million, four hundred forty-one thousand, three hundred twenty".