12872059200 has 2016 divisors, whose sum is σ = 66035773440. Its totient is φ = 2289254400.

The previous prime is 12872059199. The next prime is 12872059217. The reversal of 12872059200 is 295027821.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 273873577 + ... + 273873623.

It is an arithmetic number, because the mean of its divisors is an integer number (32755840).

Almost surely, 2^12872059200 is an apocalyptic number.

12872059200 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 12872059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33017886720).

12872059200 is an abundant number, since it is smaller than the sum of its proper divisors (53163714240).

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

12872059200 is a wasteful number, since it uses less digits than its factorization.

12872059200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

It can be divided in two parts, 1287 and 2059200, that multiplied together give a square (2650190400 = 51480²).

The spelling of 12872059200 in words is "twelve billion, eight hundred seventy-two million, fifty-nine thousand, two hundred".