1122581376 has 256 divisors, whose sum is σ = 3867840000. Its totient is φ = 320398848.

The previous prime is 1122581363. The next prime is 1122581413. The reversal of 1122581376 is 6731852211.

1122581376 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 581 + 3 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1122581376.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1184935 + ... + 1185881.

It is an arithmetic number, because the mean of its divisors is an integer number (15108750).

Almost surely, 2^1122581376 is an apocalyptic number.

1122581376 is a gapful number since it is divisible by the number (16) 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 1122581376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933920000).

1122581376 is an abundant number, since it is smaller than the sum of its proper divisors (2745258624).

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

1122581376 is an frugal number, since it uses more digits than its factorization.

1122581376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 959 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1122581376 is about 33504.9455453967. The cubic root of 1122581376 is about 1039.2960522240.

The spelling of 1122581376 in words is "one billion, one hundred twenty-two million, five hundred eighty-one thousand, three hundred seventy-six".