12706200 has 192 divisors, whose sum is σ = 47392800. Its totient is φ = 3110400.

The previous prime is 12706171. The next prime is 12706217. The reversal of 12706200 is 260721.

It is a happy number.

It is a super-2 number, since 2×12706200² = 322895036880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

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, 70110 + ... + 70290.

Almost surely, 2^12706200 is an apocalyptic number.

12706200 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 12706200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23696400).

12706200 is an abundant number, since it is smaller than the sum of its proper divisors (34686600).

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

12706200 is a wasteful number, since it uses less digits than its factorization.

12706200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12706200 is about 3564.5757110770. The cubic root of 12706200 is about 233.3486157791.

Adding to 12706200 its reverse (260721), we get a palindrome (12966921).

The spelling of 12706200 in words is "twelve million, seven hundred six thousand, two hundred".