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12212103420 = 223251131198959
BaseRepresentation
bin10110101111110010…
…11110100011111100
31011112002020010112200
423113321132203330
5200002244302140
65335443431500
7611425111026
oct132771364374
934462203480
1012212103420
1151a7461060
122449985590
1311c8098bca
1483bc71016
154b71bb030
hex2d7e5e8fc

12212103420 has 144 divisors (see below), whose sum is σ = 41714749440. Its totient is φ = 2864995200.

The previous prime is 12212103419. The next prime is 12212103427. The reversal of 12212103420 is 2430121221.

It is a happy number.

12212103420 is a `hidden beast` number, since 1 + 221 + 21 + 0 + 3 + 420 = 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 = 12212103393 and 12212103402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212103427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38100 + ... + 160859.

It is an arithmetic number, because the mean of its divisors is an integer number (289685760).

Almost surely, 212212103420 is an apocalyptic number.

12212103420 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 12212103420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20857374720).

12212103420 is an abundant number, since it is smaller than the sum of its proper divisors (29502646020).

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

12212103420 is a wasteful number, since it uses less digits than its factorization.

12212103420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199016 (or 199011 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12212103420 its reverse (2430121221), we get a palindrome (14642224641).

The spelling of 12212103420 in words is "twelve billion, two hundred twelve million, one hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 558 620 660 682 930 990 1023 1116 1364 1395 1705 1860 1980 2046 2790 3069 3410 4092 5115 5580 6138 6820 10230 12276 15345 20460 30690 61380 198959 397918 596877 795836 994795 1193754 1790631 1989590 2188549 2387508 2984385 3581262 3979180 4377098 5968770 6167729 6565647 7162524 8754196 8953155 10942745 11937540 12335458 13131294 17906310 18503187 19696941 21885490 24670916 26262588 30838645 32828235 35812620 37006374 39393882 43770980 55509561 61677290 65656470 67845019 74012748 78787764 92515935 98484705 111019122 123354580 131312940 135690038 185031870 196969410 203535057 222038244 271380076 277547805 339225095 370063740 393938820 407070114 555095610 610605171 678450190 814140228 1017675285 1110191220 1221210342 1356900380 2035350570 2442420684 3053025855 4070701140 6106051710 12212103420