Search a number
-
+
12054980720 = 24541137139193
BaseRepresentation
bin10110011101000100…
…00110100001110000
31011010010120110201102
423032202012201300
5144142033340340
65312112023532
7604506434246
oct131642064160
934103513642
1012054980720
1151267a4492
122405231ba8
1311a1674cb3
14825050796
154a84d1215
hex2ce886870

12054980720 has 160 divisors (see below), whose sum is σ = 29280000960. Its totient is φ = 4612423680.

The previous prime is 12054980699. The next prime is 12054980741. The reversal of 12054980720 is 2708945021.

It is an interprime number because it is at equal distance from previous prime (12054980699) and next prime (12054980741).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62460944 + ... + 62461136.

It is an arithmetic number, because the mean of its divisors is an integer number (183000006).

Almost surely, 212054980720 is an apocalyptic number.

12054980720 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 12054980720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14640000480).

12054980720 is an abundant number, since it is smaller than the sum of its proper divisors (17225020240).

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

12054980720 is a wasteful number, since it uses less digits than its factorization.

12054980720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 12054980720 in words is "twelve billion, fifty-four million, nine hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 137 139 164 193 205 274 278 328 386 410 548 556 656 685 695 772 820 965 1096 1112 1370 1390 1544 1640 1930 2192 2224 2740 2780 3088 3280 3860 5480 5560 5617 5699 7720 7913 10960 11120 11234 11398 15440 15826 19043 22468 22796 26441 26827 28085 28495 31652 38086 39565 44936 45592 52882 53654 56170 56990 63304 76172 79130 89872 91184 95215 105764 107308 112340 113980 126608 132205 134135 152344 158260 190430 211528 214616 224680 227960 264410 268270 304688 316520 380860 423056 429232 449360 455920 528820 536540 633040 761720 780763 1057640 1073080 1084081 1099907 1523440 1561526 2115280 2146160 2168162 2199814 3123052 3675299 3903815 4336324 4399628 5420405 5499535 6246104 7350598 7807630 8672648 8799256 10840810 10999070 12492208 14701196 15615260 17345296 17598512 18376495 21681620 21998140 29402392 31230520 36752990 43363240 43996280 58804784 62461040 73505980 86726480 87992560 147011960 150687259 294023920 301374518 602749036 753436295 1205498072 1506872590 2410996144 3013745180 6027490360 12054980720