1331223200 has 72 divisors (see below), whose sum is σ = 3254908860. Its totient is φ = 531660800.

The previous prime is 1331223193. The next prime is 1331223241. The reversal of 1331223200 is 23221331.

It can be written as a sum of positive squares in 6 ways, for example, as 368486416 + 962736784 = 19196^2 + 31028^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 944096 + ... + 945504.

Almost surely, 2^1331223200 is an apocalyptic number.

1331223200 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 1331223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627454430).

1331223200 is an abundant number, since it is smaller than the sum of its proper divisors (1923685660).

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

1331223200 is a wasteful number, since it uses less digits than its factorization.

1331223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1331223200 is about 36485.9315353192. The cubic root of 1331223200 is about 1100.0614841666.

Adding to 1331223200 its reverse (23221331), we get a palindrome (1354444531).

The spelling of 1331223200 in words is "one billion, three hundred thirty-one million, two hundred twenty-three thousand, two hundred".