1123002144 has 288 divisors, whose sum is σ = 3808546560. Its totient is φ = 321926400.

The previous prime is 1123002137. The next prime is 1123002157. The reversal of 1123002144 is 4412003211.

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

It is a super-2 number, since 2×1123002144² = 2522267630857193472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 1624839 + ... + 1625529.

It is an arithmetic number, because the mean of its divisors is an integer number (13224120).

Almost surely, 2^1123002144 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 1123002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904273280).

1123002144 is an abundant number, since it is smaller than the sum of its proper divisors (2685544416).

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

1123002144 is a wasteful number, since it uses less digits than its factorization.

1123002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1123002144 is about 33511.2241495294. The cubic root of 1123002144 is about 1039.4258862848.

Adding to 1123002144 its reverse (4412003211), we get a palindrome (5535005355).

The spelling of 1123002144 in words is "one billion, one hundred twenty-three million, two thousand, one hundred forty-four".