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12005065104420 = 223517103114268657
BaseRepresentation
bin1010111010110010010110…
…1001000001110000100100
31120111200011121222001211110
42232230211221001300210
53033142333131320140
641311014544505020
72346223463463543
oct256544551016044
946450147861743
1012005065104420
113909357309813
12141a7b401b170
136910c3b948ab
142d709658a15a
1515c42c937380
hexaeb25a41c24

12005065104420 has 96 divisors (see below), whose sum is σ = 35937035866368. Its totient is φ = 2983783145472.

The previous prime is 12005065104407. The next prime is 12005065104433. The reversal of 12005065104420 is 2440156050021.

It is an interprime number because it is at equal distance from previous prime (12005065104407) and next prime (12005065104433).

It is a super-2 number, since 2×120050651044202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57029269 + ... + 57239388.

It is an arithmetic number, because the mean of its divisors is an integer number (374344123608).

Almost surely, 212005065104420 is an apocalyptic number.

12005065104420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12005065104420 is an abundant number, since it is smaller than the sum of its proper divisors (23931970761948).

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

12005065104420 is a wasteful number, since it uses less digits than its factorization.

12005065104420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114268789 (or 114268787 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 12005065104420 in words is "twelve trillion, five billion, sixty-five million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 103 170 204 206 255 309 340 412 510 515 618 1020 1030 1236 1545 1751 2060 3090 3502 5253 6180 7004 8755 10506 17510 21012 26265 35020 52530 105060 114268657 228537314 342805971 457074628 571343285 685611942 1142686570 1371223884 1714029855 1942567169 2285373140 3428059710 3885134338 5827701507 6856119420 7770268676 9712835845 11655403014 11769671671 19425671690 23310806028 23539343342 29138507535 35309015013 38851343380 47078686684 58277015070 58848358355 70618030026 116554030140 117696716710 141236060052 176545075065 200084418407 235393433420 353090150130 400168836814 600253255221 706180300260 800337673628 1000422092035 1200506510442 2000844184070 2401013020884 3001266276105 4001688368140 6002532552210 12005065104420