12702144 has 112 divisors (see below), whose sum is σ = 41420288. Its totient is φ = 3345408.

The previous prime is 12702143. The next prime is 12702161. The reversal of 12702144 is 44120721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×12702144² = 322688924393472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12702144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12702143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17109 + ... + 17835.

It is an arithmetic number, because the mean of its divisors is an integer number (369824).

Almost surely, 2^12702144 is an apocalyptic number.

12702144 is a gapful number since it is divisible by the number (14) 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 12702144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20710144).

12702144 is an abundant number, since it is smaller than the sum of its proper divisors (28718144).

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

12702144 is a wasteful number, since it uses less digits than its factorization.

12702144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 12702144 is about 3564.0067340004. The cubic root of 12702144 is about 233.3237837362.

Adding to 12702144 its reverse (44120721), we get a palindrome (56822865).

The spelling of 12702144 in words is "twelve million, seven hundred two thousand, one hundred forty-four".