12481680 has 80 divisors (see below), whose sum is σ = 39086784. Its totient is φ = 3294720.

The previous prime is 12481673. The next prime is 12481771. The reversal of 12481680 is 8618421.

12481680 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 Harshad number since it is a multiple of its sum of digits (30).

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, 31242 + ... + 31638.

Almost surely, 2^12481680 is an apocalyptic number.

12481680 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 12481680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19543392).

12481680 is an abundant number, since it is smaller than the sum of its proper divisors (26605104).

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

12481680 is a wasteful number, since it uses less digits than its factorization.

12481680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 12481680 is about 3532.9421167067. The cubic root of 12481680 is about 231.9660077031.

The spelling of 12481680 in words is "twelve million, four hundred eighty-one thousand, six hundred eighty".