120920438385 has 64 divisors (see below), whose sum is σ = 222271983360. Its totient is φ = 62329628160.

The previous prime is 120920438357. The next prime is 120920438399. The reversal of 120920438385 is 583834029021.

120920438385 is a `hidden beast` number, since 1 + 209 + 2 + 0 + 438 + 3 + 8 + 5 = 666.

It is not a de Polignac number, because 120920438385 - 2¹⁹ = 120919914097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 120920438385.

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, 490159 + ... + 694331.

It is an arithmetic number, because the mean of its divisors is an integer number (3472999740).

Almost surely, 2^120920438385 is an apocalyptic number.

120920438385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120920438385 is a deficient number, since it is larger than the sum of its proper divisors (101351544975).

120920438385 is a wasteful number, since it uses less digits than its factorization.

120920438385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204335 (or 204329 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 120920438385 in words is "one hundred twenty billion, nine hundred twenty million, four hundred thirty-eight thousand, three hundred eighty-five".