Search a number
-
+
12130963816972 = 22711132435419877
BaseRepresentation
bin1011000010000111010111…
…0010100000001000001100
31120221201010201121022202011
42300201311302200020030
53042223203214120342
641444515435111004
72361301410050620
oct260416562401014
946851121538664
1012130963816972
113957792903990
12143b08b2a2464
1369cc39173200
142dd1db097180
1516084a6b9717
hexb0875ca020c

12130963816972 has 144 divisors (see below), whose sum is σ = 29326656344832. Its totient is φ = 4261323306240.

The previous prime is 12130963816889. The next prime is 12130963816987. The reversal of 12130963816972 is 27961836903121.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471703 + ... + 4948174.

It is an arithmetic number, because the mean of its divisors is an integer number (203657335728).

Almost surely, 212130963816972 is an apocalyptic number.

It is an amenable number.

12130963816972 is an abundant number, since it is smaller than the sum of its proper divisors (17195692527860).

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

12130963816972 is a wasteful number, since it uses less digits than its factorization.

12130963816972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5419968 (or 5419953 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 58.

The spelling of 12130963816972 in words is "twelve trillion, one hundred thirty billion, nine hundred sixty-three million, eight hundred sixteen thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 43 44 52 77 86 91 143 154 169 172 182 286 301 308 338 364 473 559 572 602 676 946 1001 1118 1183 1204 1859 1892 2002 2236 2366 3311 3718 3913 4004 4732 6149 6622 7267 7436 7826 12298 13013 13244 14534 15652 24596 26026 29068 43043 50869 52052 79937 86086 101738 159874 172172 203476 319748 559559 1119118 2238236 5419877 10839754 21679508 37939139 59618647 70458401 75878278 119237294 140916802 151756556 233054711 238474588 281833604 417330529 466109422 493208807 775042411 834661058 915959213 932218844 986417614 1550084822 1631382977 1669322116 1831918426 1972835228 2563601821 3029711243 3100169644 3262765954 3663836852 5127203642 5425296877 6059422486 6411714491 6525531908 10075551343 10254407284 10850593754 12118844972 12823428982 17945212747 20151102686 21207978701 21701187508 25646857964 33326823673 35890425494 39386246159 40302205372 42415957402 66653647346 70528859401 71780850988 78772492318 84831914804 133307294692 141057718802 157544984636 233287765711 275703723113 282115437604 433248707749 466575531422 551407446226 866497415498 933151062844 1102814892452 1732994830996 3032740954243 6065481908486 12130963816972