12833100 has 216 divisors, whose sum is σ = 48486480. Its totient is φ = 2903040.

The previous prime is 12833089. The next prime is 12833129. The reversal of 12833100 is 133821.

It is a super-2 number, since 2×12833100² = 329376911220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 132252 + ... + 132348.

Almost surely, 2^12833100 is an apocalyptic number.

12833100 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 12833100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24243240).

12833100 is an abundant number, since it is smaller than the sum of its proper divisors (35653380).

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

12833100 is a wasteful number, since it uses less digits than its factorization.

12833100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12833100 is about 3582.3316429387. The cubic root of 12833100 is about 234.1228808907.

Adding to 12833100 its reverse (133821), we get a palindrome (12966921).

The spelling of 12833100 in words is "twelve million, eight hundred thirty-three thousand, one hundred".