12951288 has 72 divisors (see below), whose sum is σ = 40814280. Its totient is φ = 3699360.

The previous prime is 12951287. The next prime is 12951307. The reversal of 12951288 is 88215921.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×12951288³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12951283) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1693 + ... + 5363.

It is an arithmetic number, because the mean of its divisors is an integer number (566865).

Almost surely, 2^12951288 is an apocalyptic number.

12951288 is a gapful number since it is divisible by the number (18) 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 12951288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20407140).

12951288 is an abundant number, since it is smaller than the sum of its proper divisors (27862992).

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

12951288 is a wasteful number, since it uses less digits than its factorization.

12951288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3697 (or 3683 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 12951288 is about 3598.7897965844. The cubic root of 12951288 is about 234.8394134515.

It can be divided in two parts, 129512 and 88, that added together give a square (129600 = 360²).

The spelling of 12951288 in words is "twelve million, nine hundred fifty-one thousand, two hundred eighty-eight".