Search a number
-
+
12012122023312 = 2417372777275927
BaseRepresentation
bin1010111011001100101001…
…0001000010010110010000
31120112100101102210200122211
42232303022101002112100
53033301311214221222
641314143115041504
72346563403345235
oct256631221022620
946470342720584
1012012122023312
1139113487aa394
121420043440294
13691979c09248
142d75658c178c
1515c6e2246277
hexaecca442590

12012122023312 has 160 divisors (see below), whose sum is σ = 25439124791808. Its totient is φ = 5471669035008.

The previous prime is 12012122023283. The next prime is 12012122023331. The reversal of 12012122023312 is 21332022121021.

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, 2026675293 + ... + 2026681219.

Almost surely, 212012122023312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012122023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12719562395904).

12012122023312 is an abundant number, since it is smaller than the sum of its proper divisors (13427002768496).

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

12012122023312 is a wasteful number, since it uses less digits than its factorization.

12012122023312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6993 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 12012122023312 its reverse (21332022121021), we get a palindrome (33344144144333).

The spelling of 12012122023312 in words is "twelve trillion, twelve billion, one hundred twenty-two million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 277 296 554 592 629 727 1108 1258 1454 2216 2516 2908 4432 4709 5032 5816 5927 9418 10064 10249 11632 11854 12359 18836 20498 23708 24718 26899 37672 40996 47416 49436 53798 75344 81992 94832 98872 100759 107596 163984 174233 197744 201379 201518 215192 219299 348466 402758 403036 430384 438598 457283 696932 805516 806072 877196 914566 1393864 1611032 1612144 1641779 1754392 1829132 2787728 3222064 3283558 3423443 3508784 3658264 3728083 4308929 6567116 6846886 7316528 7451023 7456166 8617858 13134232 13693772 14902046 14912332 17235716 26268464 27387544 27910243 29804092 29824664 34471432 54775088 55820486 59608184 59649328 60745823 68942864 73251793 111640972 119216368 121491646 126667391 146503586 159430373 223281944 242983292 253334782 293007172 318860746 446563888 485966584 506669564 586014344 637721492 971933168 1013339128 1032678991 1172028688 1193573333 1275442984 2026678256 2065357982 2387146666 2550885968 2710316341 4130715964 4774293332 5420632682 8261431928 9548586664 10841265364 16522863856 19097173328 20290746661 21682530728 40581493322 43365061456 44162213321 81162986644 88324426642 162325973288 176648853284 324651946576 353297706568 706595413136 750757626457 1501515252914 3003030505828 6006061011656 12012122023312