12400032 has 48 divisors (see below), whose sum is σ = 33439392. Its totient is φ = 4020480.

The previous prime is 12400009. The next prime is 12400043. The reversal of 12400032 is 23000421.

12400032 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12399990 and 12400017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1807 + ... + 5297.

It is an arithmetic number, because the mean of its divisors is an integer number (696654).

Almost surely, 2^12400032 is an apocalyptic number.

12400032 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 12400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16719696).

12400032 is an abundant number, since it is smaller than the sum of its proper divisors (21039360).

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

12400032 is a wasteful number, since it uses less digits than its factorization.

12400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12400032 is about 3521.3679160235. The cubic root of 12400032 is about 231.4591045569.

Adding to 12400032 its reverse (23000421), we get a palindrome (35400453).

The spelling of 12400032 in words is "twelve million, four hundred thousand, thirty-two".