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12012212022120 = 2333527031411469
BaseRepresentation
bin1010111011001100111110…
…1000010110101101101000
31120112100121201011002211000
42232303033220112231220
53033302002234201440
641314200052035000
72346565545334362
oct256631750265550
946470551132730
1012012212022120
11391139458a872
121420069602a60
1369199275a78b
142d757382bd32
1515c6ea0c2730
hexaeccfa16b68

12012212022120 has 128 divisors (see below), whose sum is σ = 40042285344000. Its totient is φ = 3203130251520.

The previous prime is 12012212022023. The next prime is 12012212022211. The reversal of 12012212022120 is 2122021221021.

It is a happy number.

12012212022120 is a `hidden beast` number, since 1 + 201 + 221 + 2 + 0 + 221 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12012212022093 and 12012212022102.

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, 28987746 + ... + 29399214.

It is an arithmetic number, because the mean of its divisors is an integer number (312830354250).

Almost surely, 212012212022120 is an apocalyptic number.

12012212022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012212022120 is an abundant number, since it is smaller than the sum of its proper divisors (28030073321880).

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

12012212022120 is a wasteful number, since it uses less digits than its factorization.

12012212022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438520 (or 438510 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12012212022120 its reverse (2122021221021), we get a palindrome (14134233243141).

The spelling of 12012212022120 in words is "twelve trillion, twelve billion, two hundred twelve million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 27031 54062 81093 108124 135155 162186 216248 243279 270310 324372 405465 411469 486558 540620 648744 729837 810930 822938 973116 1081240 1216395 1234407 1459674 1621860 1645876 1946232 2057345 2432790 2468814 2919348 3243720 3291752 3649185 3703221 4114690 4865580 4937628 5838696 6172035 7298370 7406442 8229380 9731160 9875256 11109663 12344070 14596740 14812884 16458760 18516105 22219326 24688140 29193480 29625768 37032210 44438652 49376280 55548315 74064420 88877304 111096630 148128840 222193260 444386520 11122418539 22244837078 33367255617 44489674156 55612092695 66734511234 88979348312 100101766851 111224185390 133469022468 166836278085 200203533702 222448370780 266938044936 300305300553 333672556170 400407067404 444896741560 500508834255 600610601106 667345112340 800814134808 1001017668510 1201221202212 1334690224680 1501526502765 2002035337020 2402442404424 3003053005530 4004070674040 6006106011060 12012212022120