12705283200 has 384 divisors, whose sum is σ = 44731422720. Its totient is φ = 3158507520.

The previous prime is 12705283189. The next prime is 12705283271. The reversal of 12705283200 is 238250721.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×12705283200² (a number of 21 digits) contains 22 as substring.

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, 20726094 + ... + 20726706.

It is an arithmetic number, because the mean of its divisors is an integer number (116488080).

Almost surely, 2^12705283200 is an apocalyptic number.

12705283200 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 12705283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22365711360).

12705283200 is an abundant number, since it is smaller than the sum of its proper divisors (32026139520).

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

12705283200 is a wasteful number, since it uses less digits than its factorization.

12705283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 12705283200 in words is "twelve billion, seven hundred five million, two hundred eighty-three thousand, two hundred".