12900240 has 240 divisors, whose sum is σ = 48746880. Its totient is φ = 3041280.

The previous prime is 12900227. The next prime is 12900289. The reversal of 12900240 is 4200921.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314620 + ... + 314660.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

Almost surely, 2^12900240 is an apocalyptic number.

12900240 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 12900240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

12900240 is an abundant number, since it is smaller than the sum of its proper divisors (35846640).

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

12900240 is a wasteful number, since it uses less digits than its factorization.

12900240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12900240 is about 3591.6904098210. The cubic root of 12900240 is about 234.5304643221.

The spelling of 12900240 in words is "twelve million, nine hundred thousand, two hundred forty".