12869200224 has 144 divisors (see below), whose sum is σ = 37140994800. Its totient is φ = 4226380800.

The previous prime is 12869200219. The next prime is 12869200241. The reversal of 12869200224 is 42200296821.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 6602002 + ... + 6603950.

It is an arithmetic number, because the mean of its divisors is an integer number (257923575).

Almost surely, 2^12869200224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12869200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570497400).

12869200224 is an abundant number, since it is smaller than the sum of its proper divisors (24271794576).

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

12869200224 is a wasteful number, since it uses less digits than its factorization.

12869200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12869200224 in words is "twelve billion, eight hundred sixty-nine million, two hundred thousand, two hundred twenty-four".