12712162000 has 40 divisors (see below), whose sum is σ = 30738012552. Its totient is φ = 5084864000.

The previous prime is 12712161991. The next prime is 12712162079. The reversal of 12712162000 is 26121721.

It is a happy number.

12712162000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2380659264 + 10331502736 = 48792^2 + 101644^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3176041 + ... + 3180040.

Almost surely, 2^12712162000 is an apocalyptic number.

12712162000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12712162000 is an abundant number, since it is smaller than the sum of its proper divisors (18025850552).

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

12712162000 is an equidigital number, since it uses as much as digits as its factorization.

12712162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356104 (or 6356088 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 12712162000 its reverse (26121721), we get a palindrome (12738283721).

The spelling of 12712162000 in words is "twelve billion, seven hundred twelve million, one hundred sixty-two thousand".