12642240 has 112 divisors (see below), whose sum is σ = 43269408. Its totient is φ = 3108864.

The previous prime is 12642211. The next prime is 12642263. The reversal of 12642240 is 4224621.

It is a zygodrome in base 2.

It is a congruent number.

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, 11974 + ... + 12986.

It is an arithmetic number, because the mean of its divisors is an integer number (386334).

Almost surely, 2^12642240 is an apocalyptic number.

12642240 is a gapful number since it is divisible by the number (10) 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 12642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21634704).

12642240 is an abundant number, since it is smaller than the sum of its proper divisors (30627168).

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

12642240 is a wasteful number, since it uses less digits than its factorization.

12642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 12642240 is about 3555.5927775829. The cubic root of 12642240 is about 232.9564164153.

Adding to 12642240 its reverse (4224621), we get a palindrome (16866861).

The spelling of 12642240 in words is "twelve million, six hundred forty-two thousand, two hundred forty".