120385805517263 has 16 divisors (see below), whose sum is σ = 141660760214400. Its totient is φ = 100859849866080.

The previous prime is 120385805517209. The next prime is 120385805517277. The reversal of 120385805517263 is 362715508583021.

It is a cyclic number.

It is not a de Polignac number, because 120385805517263 - 2³⁶ = 120317086040527 is a prime.

It is a super-2 number, since 2×120385805517263² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120385805517199 and 120385805517208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120385805517563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679926653 + ... + 680103686.

It is an arithmetic number, because the mean of its divisors is an integer number (8853797513400).

Almost surely, 2^{120385805517263} is an apocalyptic number.

120385805517263 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

120385805517263 is a deficient number, since it is larger than the sum of its proper divisors (21274954697137).

120385805517263 is a wasteful number, since it uses less digits than its factorization.

120385805517263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360030982.

The product of its (nonzero) digits is 12096000, while the sum is 56.

The spelling of 120385805517263 in words is "one hundred twenty trillion, three hundred eighty-five billion, eight hundred five million, five hundred seventeen thousand, two hundred sixty-three".