12784465200 has 240 divisors, whose sum is σ = 44201233440. Its totient is φ = 3139952640.

The previous prime is 12784465189. The next prime is 12784465201. The reversal of 12784465200 is 256448721.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12784465200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12784465201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12619894 + ... + 12620906.

It is an arithmetic number, because the mean of its divisors is an integer number (184171806).

Almost surely, 2^12784465200 is an apocalyptic number.

12784465200 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 12784465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22100616720).

12784465200 is an abundant number, since it is smaller than the sum of its proper divisors (31416768240).

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

12784465200 is a wasteful number, since it uses less digits than its factorization.

12784465200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 12784465200 in words is "twelve billion, seven hundred eighty-four million, four hundred sixty-five thousand, two hundred".