12462240 has 96 divisors (see below), whose sum is σ = 44876160. Its totient is φ = 2847744.

The previous prime is 12462223. The next prime is 12462253. The reversal of 12462240 is 4226421.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 1506 + ... + 5214.

It is an arithmetic number, because the mean of its divisors is an integer number (467460).

Almost surely, 2^12462240 is an apocalyptic number.

12462240 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 12462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22438080).

12462240 is an abundant number, since it is smaller than the sum of its proper divisors (32413920).

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

12462240 is a wasteful number, since it uses less digits than its factorization.

12462240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3726 counting only the distinct ones).

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

The square root of 12462240 is about 3530.1897965973. The cubic root of 12462240 is about 231.8455174504.

Adding to 12462240 its reverse (4226421), we get a palindrome (16688661).

It can be divided in two parts, 1246 and 2240, that added together give a triangular number (3486 = T₈₃).

The spelling of 12462240 in words is "twelve million, four hundred sixty-two thousand, two hundred forty".