Search a number
-
+
12023555131225 = 52112234131113553
BaseRepresentation
bin1010111011110111001110…
…1110111000011101011001
31120120102220020012202021001
42232331303232320131121
53033443220103144400
641323313414145001
72350446622224331
oct256756356703531
946512806182231
1012023555131225
113916185466600
1214222b4352161
13692a7c797961
142d7d2c0d40c1
1515cb60d38a6a
hexaef73bb8759

12023555131225 has 144 divisors (see below), whose sum is σ = 17575024626432. Its totient is φ = 8133368320000.

The previous prime is 12023555131219. The next prime is 12023555131229. The reversal of 12023555131225 is 52213155532021.

It is a de Polignac number, because none of the positive numbers 2k-12023555131225 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12023555131229) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 887144049 + ... + 887157601.

It is an arithmetic number, because the mean of its divisors is an integer number (122048782128).

Almost surely, 212023555131225 is an apocalyptic number.

It is an amenable number.

12023555131225 is a deficient number, since it is larger than the sum of its proper divisors (5551469495207).

12023555131225 is a wasteful number, since it uses less digits than its factorization.

12023555131225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13960 (or 13944 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

The spelling of 12023555131225 in words is "twelve trillion, twenty-three billion, five hundred fifty-five million, one hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 5 11 23 25 41 55 115 121 205 253 275 311 451 575 605 943 1025 1265 1555 2255 2783 3025 3421 4715 4961 6325 7153 7775 10373 11275 12751 13553 13915 17105 23575 24805 35765 37631 51865 63755 67765 69575 78683 85525 114103 124025 140261 149083 178825 188155 259325 293273 311719 318775 338825 393415 555673 570515 701305 745415 865513 940775 1466365 1542871 1558595 1639913 1967075 2778365 2852575 3226003 3428909 3506525 3727075 4214983 4327565 6112403 7331825 7714355 7792975 8199565 12780479 13891825 16130015 17144545 21074915 21637825 30562015 35486033 37717999 38571775 40997825 46364813 63902395 67236433 80650075 85722725 96944609 105374575 140585269 152810075 172814303 177430165 188589995 231824065 319511975 336182165 484723045 510012943 702926345 864071515 887150825 942949975 1066390699 1159120325 1546437959 1680910825 1900957333 2423615225 2550064715 3514631725 3974728969 4320357575 5331953495 7732189795 9504786665 11730297689 12750323575 19873644845 20910530663 26659767475 38660948975 43722018659 47523933325 58651488445 99368224225 104552653315 218610093295 293257442225 480942205249 522763266575 1093050466475 2404711026245 12023555131225