1233313120 has 48 divisors (see below), whose sum is σ = 3137838480. Its totient is φ = 455376384.

The previous prime is 1233313111. The next prime is 1233313157. The reversal of 1233313120 is 213133321.

It is a super-2 number, since 2×1233313120² = 3042122503928268800, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 294390 + ... + 298549.

It is an arithmetic number, because the mean of its divisors is an integer number (65371635).

Almost surely, 2^1233313120 is an apocalyptic number.

1233313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1233313120 is an abundant number, since it is smaller than the sum of its proper divisors (1904525360).

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

1233313120 is a wasteful number, since it uses less digits than its factorization.

1233313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592967 (or 592959 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1233313120 is about 35118.5580569590. The cubic root of 1233313120 is about 1072.4024163057.

Adding to 1233313120 its reverse (213133321), we get a palindrome (1446446441).

The spelling of 1233313120 in words is "one billion, two hundred thirty-three million, three hundred thirteen thousand, one hundred twenty".