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12002202000012 = 22373118772455589
BaseRepresentation
bin1010111010100111101011…
…1111001001101010001100
31120111101210002112021221110
42232221322333021222030
53033121002203000022
641305422510332020
72346062516501430
oct256517277115214
946441702467843
1012002202000012
113908118150024
12141a1351ba010
13690a58971683
142d6ca421a9c0
1515c3113d500c
hexaea7afc9a8c

12002202000012 has 96 divisors (see below), whose sum is σ = 33055934607360. Its totient is φ = 3316811823360.

The previous prime is 12002201999923. The next prime is 12002202000023. The reversal of 12002202000012 is 21000020220021.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 3659914 + ... + 6115502.

It is an arithmetic number, because the mean of its divisors is an integer number (344332652160).

Almost surely, 212002202000012 is an apocalyptic number.

12002202000012 is a gapful number since it is divisible by the number (12) 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 12002202000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16527967303680).

12002202000012 is an abundant number, since it is smaller than the sum of its proper divisors (21053732607348).

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

12002202000012 is a wasteful number, since it uses less digits than its factorization.

12002202000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457511 (or 2457509 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12002202000012 its reverse (21000020220021), we get a palindrome (33002222220033).

The spelling of 12002202000012 in words is "twelve trillion, two billion, two hundred two million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 1877 2604 3754 5631 7508 11262 13139 22524 26278 39417 52556 58187 78834 116374 157668 174561 232748 349122 407309 698244 814618 1221927 1629236 2443854 2455589 4887708 4911178 7366767 9822356 14733534 17189123 29467068 34378246 51567369 68756492 76123259 103134738 152246518 206269476 228369777 304493036 456739554 532862813 913479108 1065725626 1598588439 2131451252 3197176878 4609140553 6394353756 9218281106 13827421659 18436562212 27654843318 32263983871 55309686636 64527967742 96791951613 129055935484 142883357143 193583903226 285766714286 387167806452 428650071429 571533428572 857300142858 1000183500001 1714600285716 2000367000002 3000550500003 4000734000004 6001101000006 12002202000012