12864900 has 144 divisors (see below), whose sum is σ = 40900160. Its totient is φ = 3110400.

The previous prime is 12864899. The next prime is 12864941. The reversal of 12864900 is 946821.

12864900 = T₁₉₅ + T₁₉₆ + ... + T₄₃₈.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210870 + ... + 210930.

Almost surely, 2^12864900 is an apocalyptic number.

12864900 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 12864900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20450080).

12864900 is an abundant number, since it is smaller than the sum of its proper divisors (28035260).

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

12864900 is a wasteful number, since it uses less digits than its factorization.

12864900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 12864900 is about 3586.7673467901. The cubic root of 12864900 is about 234.3161043126.

The spelling of 12864900 in words is "twelve million, eight hundred sixty-four thousand, nine hundred".