12461520 has 80 divisors (see below), whose sum is σ = 39015360. Its totient is φ = 3290112.

The previous prime is 12461509. The next prime is 12461543. The reversal of 12461520 is 2516421.

12461520 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 (80).

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, 32691 + ... + 33069.

It is an arithmetic number, because the mean of its divisors is an integer number (487692).

Almost surely, 2^12461520 is an apocalyptic number.

12461520 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 12461520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19507680).

12461520 is an abundant number, since it is smaller than the sum of its proper divisors (26553840).

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

12461520 is a wasteful number, since it uses less digits than its factorization.

12461520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 12461520 is about 3530.0878176045. The cubic root of 12461520 is about 231.8410524428.

Adding to 12461520 its reverse (2516421), we get a palindrome (14977941).

The spelling of 12461520 in words is "twelve million, four hundred sixty-one thousand, five hundred twenty".