12872300 has 108 divisors (see below), whose sum is σ = 33841584. Its totient is φ = 4233600.

The previous prime is 12872287. The next prime is 12872303. The reversal of 12872300 is 327821.

It is a super-2 number, since 2×12872300² = 331392214580000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12872303) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 181265 + ... + 181335.

It is an arithmetic number, because the mean of its divisors is an integer number (313348).

Almost surely, 2^12872300 is an apocalyptic number.

12872300 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 12872300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16920792).

12872300 is an abundant number, since it is smaller than the sum of its proper divisors (20969284).

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

12872300 is a wasteful number, since it uses less digits than its factorization.

12872300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 12872300 is about 3587.7987680471. The cubic root of 12872300 is about 234.3610225739.

It can be divided in two parts, 12 and 872300, that multiplied together give a triangular number (10467600 = T₄₅₇₅).

The spelling of 12872300 in words is "twelve million, eight hundred seventy-two thousand, three hundred".