1223100320 has 72 divisors (see below), whose sum is σ = 3129016716. Its totient is φ = 451596288.

The previous prime is 1223100313. The next prime is 1223100341. The reversal of 1223100320 is 230013221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 432140944 + 790959376 = 20788^2 + 28124^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1223100295 and 1223100304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4424 + ... + 49656.

Almost surely, 2^1223100320 is an apocalyptic number.

1223100320 is a gapful number since it is divisible by the number (10) 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 1223100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564508358).

1223100320 is an abundant number, since it is smaller than the sum of its proper divisors (1905916396).

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

1223100320 is a wasteful number, since it uses less digits than its factorization.

1223100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45274 (or 45253 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1223100320 is about 34972.8511848834. The cubic root of 1223100320 is about 1069.4340967741.

Adding to 1223100320 its reverse (230013221), we get a palindrome (1453113541).

The spelling of 1223100320 in words is "one billion, two hundred twenty-three million, one hundred thousand, three hundred twenty".