1122132264 has 128 divisors (see below), whose sum is σ = 3198873600. Its totient is φ = 324898560.

The previous prime is 1122132259. The next prime is 1122132283. The reversal of 1122132264 is 4622312211.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 787857 + ... + 789279.

It is an arithmetic number, because the mean of its divisors is an integer number (24991200).

Almost surely, 2^1122132264 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 1122132264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599436800).

1122132264 is an abundant number, since it is smaller than the sum of its proper divisors (2076741336).

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

1122132264 is a wasteful number, since it uses less digits than its factorization.

1122132264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1571 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1122132264 is about 33498.2427001776. The cubic root of 1122132264 is about 1039.1574364116.

Adding to 1122132264 its reverse (4622312211), we get a palindrome (5744444475).

It can be divided in two parts, 1122 and 132264, that added together give a triangular number (133386 = T₅₁₆).

The spelling of 1122132264 in words is "one billion, one hundred twenty-two million, one hundred thirty-two thousand, two hundred sixty-four".