120088685813406 has 128 divisors (see below), whose sum is σ = 265997562163200. Its totient is φ = 35999646842880.

The previous prime is 120088685813389. The next prime is 120088685813407. The reversal of 120088685813406 is 604318586880021.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 120088685813406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120088685813407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37186090 + ... + 40286258.

It is an arithmetic number, because the mean of its divisors is an integer number (2078105954400).

Almost surely, 2^{120088685813406} is an apocalyptic number.

120088685813406 is an abundant number, since it is smaller than the sum of its proper divisors (145908876349794).

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

120088685813406 is a wasteful number, since it uses less digits than its factorization.

120088685813406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100434.

The product of its (nonzero) digits is 17694720, while the sum is 60.

The spelling of 120088685813406 in words is "one hundred twenty trillion, eighty-eight billion, six hundred eighty-five million, eight hundred thirteen thousand, four hundred six".