12712700 has 144 divisors (see below), whose sum is σ = 37330944. Its totient is φ = 3628800.

The previous prime is 12712699. The next prime is 12712703. The reversal of 12712700 is 721721.

It is a super-2 number, since 2×12712700² = 323225482580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12712703) 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, 100037 + ... + 100163.

Almost surely, 2^12712700 is an apocalyptic number.

12712700 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 12712700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18665472).

12712700 is an abundant number, since it is smaller than the sum of its proper divisors (24618244).

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

12712700 is a wasteful number, since it uses less digits than its factorization.

12712700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 12712700 is about 3565.4873439686. The cubic root of 12712700 is about 233.3883997018.

It can be divided in two parts, 127 and 12700, that multiplied together give a square (1612900 = 1270²).

The spelling of 12712700 in words is "twelve million, seven hundred twelve thousand, seven hundred".