12940032 has 144 divisors (see below), whose sum is σ = 41207040. Its totient is φ = 3526656.

The previous prime is 12940001. The next prime is 12940073. The reversal of 12940032 is 23004921.

It is a super-2 number, since 2×12940032² = 334888856322048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12939990 and 12940008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155863 + ... + 155945.

It is an arithmetic number, because the mean of its divisors is an integer number (286160).

Almost surely, 2^12940032 is an apocalyptic number.

12940032 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 12940032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20603520).

12940032 is an abundant number, since it is smaller than the sum of its proper divisors (28267008).

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

12940032 is an equidigital number, since it uses as much as digits as its factorization.

12940032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 12940032 is about 3597.2255975960. The cubic root of 12940032 is about 234.7713605394.

Adding to 12940032 its reverse (23004921), we get a palindrome (35944953).

The spelling of 12940032 in words is "twelve million, nine hundred forty thousand, thirty-two".