Search a number
-
+
120712380338757 = 31716211633389399
BaseRepresentation
bin11011011100100110001010…
…100011001101001001000101
3120211101222202100001210201110
4123130212022203031021011
5111310222423331320012
61104422300231515233
734266116213150604
oct3334461243151105
9524358670053643
10120712380338757
113550a918810629
1211656a4bb28b19
13524818977783c
1421b47206b9a3b
15de501555b73c
hex6dc98a8cd245

120712380338757 has 32 divisors (see below), whose sum is σ = 170534957126400. Its totient is φ = 75688895370240.

The previous prime is 120712380338749. The next prime is 120712380338777. The reversal of 120712380338757 is 757833083217021.

It is not a de Polignac number, because 120712380338757 - 23 = 120712380338749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120712380338697 and 120712380338706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120712380338777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1350220744 + ... + 1350310142.

It is an arithmetic number, because the mean of its divisors is an integer number (5329217410200).

Almost surely, 2120712380338757 is an apocalyptic number.

120712380338757 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

120712380338757 is a deficient number, since it is larger than the sum of its proper divisors (49822576787643).

120712380338757 is a wasteful number, since it uses less digits than its factorization.

120712380338757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107373.

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 120712380338757 in words is "one hundred twenty trillion, seven hundred twelve billion, three hundred eighty million, three hundred thirty-eight thousand, seven hundred fifty-seven".

Divisors: 1 3 17 51 1621 4863 16333 27557 48999 82671 89399 268197 277661 832983 1519783 4559349 26475793 79427379 144915779 434747337 450088481 1350265443 1460153867 2463568243 4380461601 7390704729 24822615739 74467847217 2366909418407 7100728255221 40237460112919 120712380338757