Search a number
-
+
12114553423320 = 23325163206451149
BaseRepresentation
bin1011000001001010001110…
…1001110100010111011000
31120220010210001112221200200
42300102203221310113120
53041441101134021240
641433203215302200
72360150633026425
oct260224351642730
946803701487620
1012114553423320
113950831644287
121437a6b51a960
1369b5223798ca
142dc4c1816d4c
151601d9b5a930
hexb04a3a745d8

12114553423320 has 96 divisors (see below), whose sum is σ = 39613846662000. Its totient is φ = 3210728253696.

The previous prime is 12114553423279. The next prime is 12114553423337. The reversal of 12114553423320 is 2332435541121.

12114553423320 is a `hidden beast` number, since 1 + 2 + 1 + 14 + 553 + 42 + 33 + 20 = 666.

It is a super-3 number, since 3×121145534233203 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103166895 + ... + 103284254.

Almost surely, 212114553423320 is an apocalyptic number.

12114553423320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12114553423320 is an abundant number, since it is smaller than the sum of its proper divisors (27499293238680).

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

12114553423320 is a wasteful number, since it uses less digits than its factorization.

12114553423320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206451329 (or 206451322 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 12114553423320 its reverse (2332435541121), we get a palindrome (14446988964441).

The spelling of 12114553423320 in words is "twelve trillion, one hundred fourteen billion, five hundred fifty-three million, four hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 163 180 326 360 489 652 815 978 1304 1467 1630 1956 2445 2934 3260 3912 4890 5868 6520 7335 9780 11736 14670 19560 29340 58680 206451149 412902298 619353447 825804596 1032255745 1238706894 1651609192 1858060341 2064511490 2477413788 3096767235 3716120682 4129022980 4954827576 6193534470 7432241364 8258045960 9290301705 12387068940 14864482728 18580603410 24774137880 33651537287 37161206820 67303074574 74322413640 100954611861 134606149148 168257686435 201909223722 269212298296 302863835583 336515372870 403818447444 504773059305 605727671166 673030745740 807636894888 1009546118610 1211455342332 1346061491480 1514319177915 2019092237220 2422910684664 3028638355830 4038184474440 6057276711660 12114553423320