Search a number
-
+
12124471740 = 223517107111091
BaseRepresentation
bin10110100101010110…
…01100000110111100
31011021222022222110220
423102223030012330
5144312331043430
65323033301340
7606312211053
oct132253140674
934258288426
1012124471740
115161a48087
122424564850
1311b2b95c44
1483037d39a
154ae65b110
hex2d2acc1bc

12124471740 has 96 divisors (see below), whose sum is σ = 36281758464. Its totient is φ = 3014538240.

The previous prime is 12124471717. The next prime is 12124471829. The reversal of 12124471740 is 4717442121.

12124471740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53595 + ... + 164685.

It is an arithmetic number, because the mean of its divisors is an integer number (377934984).

Almost surely, 212124471740 is an apocalyptic number.

12124471740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12124471740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18140879232).

12124471740 is an abundant number, since it is smaller than the sum of its proper divisors (24157286724).

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

12124471740 is a wasteful number, since it uses less digits than its factorization.

12124471740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111227 (or 111225 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The spelling of 12124471740 in words is "twelve billion, one hundred twenty-four million, four hundred seventy-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 107 170 204 214 255 321 340 428 510 535 642 1020 1070 1284 1605 1819 2140 3210 3638 5457 6420 7276 9095 10914 18190 21828 27285 36380 54570 109140 111091 222182 333273 444364 555455 666546 1110910 1333092 1666365 1888547 2221820 3332730 3777094 5665641 6665460 7554188 9442735 11331282 11886737 18885470 22662564 23773474 28328205 35660211 37770940 47546948 56656410 59433685 71320422 113312820 118867370 142640844 178301055 202074529 237734740 356602110 404149058 606223587 713204220 808298116 1010372645 1212447174 2020745290 2424894348 3031117935 4041490580 6062235870 12124471740