12105624240 has 60 divisors (see below), whose sum is σ = 40654723824. Its totient is φ = 3228166272.

The previous prime is 12105624239. The next prime is 12105624281. The reversal of 12105624240 is 4242650121.

12105624240 is a `hidden beast` number, since 1 + 2 + 10 + 5 + 624 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×12105624240² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8405964 + ... + 8407403.

Almost surely, 2^12105624240 is an apocalyptic number.

12105624240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12105624240 is an abundant number, since it is smaller than the sum of its proper divisors (28549099584).

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

12105624240 is a wasteful number, since it uses less digits than its factorization.

12105624240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16813386 (or 16813377 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 12105624240 in words is "twelve billion, one hundred five million, six hundred twenty-four thousand, two hundred forty".