1234224321 has 64 divisors (see below), whose sum is σ = 1922641920. Its totient is φ = 702768000.

The previous prime is 1234224289. The next prime is 1234224373.

It is a happy number.

1234224321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1234224321 - 2⁵ = 1234224289 is a prime.

It is a super-2 number, since 2×1234224321² = 3046619349095822082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1234224291 and 1234224300.

It is not an unprimeable number, because it can be changed into a prime (1234224391) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8173596 + ... + 8173746.

It is an arithmetic number, because the mean of its divisors is an integer number (30041280).

Almost surely, 2^1234224321 is an apocalyptic number.

1234224321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1234224321 is a deficient number, since it is larger than the sum of its proper divisors (688417599).

1234224321 is a wasteful number, since it uses less digits than its factorization.

1234224321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 277 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 1234224321 is about 35131.5288736485. The cubic root of 1234224321 is about 1072.6664567411. Note that the first 3 decimals are identical.

It can be divided in two parts, 12342 and 24321, that added together give a palindrome (36663).

The spelling of 1234224321 in words is "one billion, two hundred thirty-four million, two hundred twenty-four thousand, three hundred twenty-one".