12540096 has 140 divisors (see below), whose sum is σ = 38724840. Its totient is φ = 4008960.

The previous prime is 12540049. The next prime is 12540109. The reversal of 12540096 is 69004521.

12540096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 212515 + ... + 212573.

It is an arithmetic number, because the mean of its divisors is an integer number (276606).

Almost surely, 2^12540096 is an apocalyptic number.

12540096 is a gapful number since it is divisible by the number (16) 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 12540096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19362420).

12540096 is an abundant number, since it is smaller than the sum of its proper divisors (26184744).

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

12540096 is an equidigital number, since it uses as much as digits as its factorization.

12540096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12540096 is about 3541.1997966791. The cubic root of 12540096 is about 232.3273223565.

The spelling of 12540096 in words is "twelve million, five hundred forty thousand, ninety-six".