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12122012222220 = 22355310213733549
BaseRepresentation
bin1011000001100110000000…
…1110111000001100001100
31120220212000212121012020210
42300121200032320030030
53042101340112102340
641440435303242420
72360533522543005
oct260314016701414
946825025535223
1012122012222220
113953a0997429a
1214393b1449410
1369c140740494
142dc9cc2821ac
151604c48a0180
hexb06603b830c

12122012222220 has 96 divisors (see below), whose sum is σ = 34615922443200. Its totient is φ = 3168438174720.

The previous prime is 12122012222213. The next prime is 12122012222321. The reversal of 12122012222220 is 2222221022121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1380006 + ... + 5113554.

It is an arithmetic number, because the mean of its divisors is an integer number (360582525450).

Almost surely, 212122012222220 is an apocalyptic number.

12122012222220 is a gapful number since it is divisible by the number (10) 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 12122012222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17307961221600).

12122012222220 is an abundant number, since it is smaller than the sum of its proper divisors (22493910220980).

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

12122012222220 is a wasteful number, since it uses less digits than its factorization.

12122012222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734635 (or 3734633 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 12122012222220 its reverse (2222221022121), we get a palindrome (14344233244341).

The spelling of 12122012222220 in words is "twelve trillion, one hundred twenty-two billion, twelve million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1021 1060 1590 2042 3063 3180 4084 5105 6126 10210 12252 15315 20420 30630 54113 61260 108226 162339 216452 270565 324678 541130 649356 811695 1082260 1623390 3246780 3733549 7467098 11200647 14934196 18667745 22401294 37335490 44802588 56003235 74670980 112006470 197878097 224012940 395756194 593634291 791512388 989390485 1187268582 1978780970 2374537164 2968171455 3811953529 3957561940 5936342910 7623907058 11435860587 11872685820 15247814116 19059767645 22871721174 38119535290 45743442348 57179302935 76239070580 114358605870 202033537037 228717211740 404067074074 606100611111 808134148148 1010167685185 1212201222222 2020335370370 2424402444444 3030503055555 4040670740740 6061006111110 12122012222220