1122442272 has 288 divisors, whose sum is σ = 4008880512. Its totient is φ = 301584384.

The previous prime is 1122442261. The next prime is 1122442291. The reversal of 1122442272 is 2722442211.

It is a happy number.

1122442272 is a `hidden beast` number, since 11 + 224 + 422 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 924738 + ... + 925950.

It is an arithmetic number, because the mean of its divisors is an integer number (13919724).

Almost surely, 2^1122442272 is an apocalyptic number.

1122442272 is a gapful number since it is divisible by the number (12) 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 1122442272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004440256).

1122442272 is an abundant number, since it is smaller than the sum of its proper divisors (2886438240).

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

1122442272 is a wasteful number, since it uses less digits than its factorization.

1122442272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1242 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 1122442272 is about 33502.8696084380. The cubic root of 1122442272 is about 1039.2531225344.

Adding to 1122442272 its reverse (2722442211), we get a palindrome (3844884483).

The spelling of 1122442272 in words is "one billion, one hundred twenty-two million, four hundred forty-two thousand, two hundred seventy-two".