120609811108224 has 192 divisors, whose sum is σ = 375301808706240. Its totient is φ = 37033300082688.

The previous prime is 120609811108223. The next prime is 120609811108229. The reversal of 120609811108224 is 422801118906021.

120609811108224 is a `hidden beast` number, since 1 + 2 + 0 + 609 + 8 + 1 + 1 + 10 + 8 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×120609811108224² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120609811108224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120609811108223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64596459 + ... + 66437354.

It is an arithmetic number, because the mean of its divisors is an integer number (1954696920345).

Almost surely, 2^{120609811108224} is an apocalyptic number.

It is an amenable number.

120609811108224 is an abundant number, since it is smaller than the sum of its proper divisors (254691997598016).

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

120609811108224 is a wasteful number, since it uses less digits than its factorization.

120609811108224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131033897 (or 131033882 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 120609811108224 in words is "one hundred twenty trillion, six hundred nine billion, eight hundred eleven million, one hundred eight thousand, two hundred twenty-four".