12609102144240 has 320 divisors, whose sum is σ = 52248243993600. Its totient is φ = 2730391981056.

The previous prime is 12609102144181. The next prime is 12609102144283. The reversal of 12609102144240 is 4244120190621.

12609102144240 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 9 + 10 + 214 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12609102144195 and 12609102144204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21658387 + ... + 22232946.

It is an arithmetic number, because the mean of its divisors is an integer number (163275762480).

Almost surely, 2^{12609102144240} is an apocalyptic number.

12609102144240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12609102144240 is an abundant number, since it is smaller than the sum of its proper divisors (39639141849360).

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

12609102144240 is a wasteful number, since it uses less digits than its factorization.

12609102144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43891381 (or 43891369 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12609102144240 in words is "twelve trillion, six hundred nine billion, one hundred two million, one hundred forty-four thousand, two hundred forty".