1224432144 has 120 divisors (see below), whose sum is σ = 3710517720. Its totient is φ = 374685696.

The previous prime is 1224432101. The next prime is 1224432161. The reversal of 1224432144 is 4412344221.

1224432144 is a `hidden beast` number, since 1 + 2 + 2 + 443 + 214 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 159062544 + 1065369600 = 12612^2 + 32640^2 .

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 23 ways as a sum of consecutive naturals, for example, 359602 + ... + 362990.

It is an arithmetic number, because the mean of its divisors is an integer number (30920981).

Almost surely, 2^1224432144 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 1224432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855258860).

1224432144 is an abundant number, since it is smaller than the sum of its proper divisors (2486085576).

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

1224432144 is a wasteful number, since it uses less digits than its factorization.

1224432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3600 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 1224432144 is about 34991.8868310927. The cubic root of 1224432144 is about 1069.8221220017.

Adding to 1224432144 its reverse (4412344221), we get a palindrome (5636776365).

The spelling of 1224432144 in words is "one billion, two hundred twenty-four million, four hundred thirty-two thousand, one hundred forty-four".