12703152 has 120 divisors (see below), whose sum is σ = 41729472. Its totient is φ = 3292800.

The previous prime is 12703127. The next prime is 12703157. The reversal of 12703152 is 25130721.

It is a super-3 number, since 3×12703152³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (12703157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25627 + ... + 26117.

Almost surely, 2^12703152 is an apocalyptic number.

12703152 is a gapful number since it is divisible by the number (12) 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 12703152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20864736).

12703152 is an abundant number, since it is smaller than the sum of its proper divisors (29026320).

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

12703152 is a wasteful number, since it uses less digits than its factorization.

12703152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 12703152 is about 3564.1481450692. The cubic root of 12703152 is about 233.3299555067.

Adding to 12703152 its reverse (25130721), we get a palindrome (37833873).

The spelling of 12703152 in words is "twelve million, seven hundred three thousand, one hundred fifty-two".