12705000 has 240 divisors, whose sum is σ = 49859040. Its totient is φ = 2640000.

The previous prime is 12704999. The next prime is 12705031. The reversal of 12705000 is 50721.

It is a happy number.

12705000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12705000² = 322834050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1154995 + ... + 1155005.

It is an arithmetic number, because the mean of its divisors is an integer number (207746).

Almost surely, 2^12705000 is an apocalyptic number.

12705000 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 12705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24929520).

12705000 is an abundant number, since it is smaller than the sum of its proper divisors (37154040).

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

12705000 is a wasteful number, since it uses less digits than its factorization.

12705000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 12705000 is about 3564.4073841243. The cubic root of 12705000 is about 233.3412695713.

Adding to 12705000 its reverse (50721), we get a palindrome (12755721).

The spelling of 12705000 in words is "twelve million, seven hundred five thousand".