1233135200 has 108 divisors (see below), whose sum is σ = 3309202260. Its totient is φ = 448377600.

The previous prime is 1233135173. The next prime is 1233135227. The reversal of 1233135200 is 25313321.

It is an interprime number because it is at equal distance from previous prime (1233135173) and next prime (1233135227).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 90431 + ... + 103169.

Almost surely, 2^1233135200 is an apocalyptic number.

1233135200 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 1233135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654601130).

1233135200 is an abundant number, since it is smaller than the sum of its proper divisors (2076067060).

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

1233135200 is a wasteful number, since it uses less digits than its factorization.

1233135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12781 (or 12757 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1233135200 is about 35116.0248319766. The cubic root of 1233135200 is about 1072.3508449162.

Adding to 1233135200 its reverse (25313321), we get a palindrome (1258448521).

The spelling of 1233135200 in words is "one billion, two hundred thirty-three million, one hundred thirty-five thousand, two hundred".