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12122211110220 = 2233587253257281
BaseRepresentation
bin1011000001100110110000…
…0101100100110101001100
31120220212112201211202022000
42300121230011210311030
53042102242021011340
641440511130152300
72360541456216261
oct260315405446514
946825481752260
1012122211110220
113954001167842
121439447b82690
1369c1729c85a3
142dca0a855268
151604d7089d30
hexb066c164d4c

12122211110220 has 96 divisors (see below), whose sum is σ = 37714124495040. Its totient is φ = 3232540016640.

The previous prime is 12122211110173. The next prime is 12122211110221. The reversal of 12122211110220 is 2201111222121.

12122211110220 is a `hidden beast` number, since 1 + 2 + 122 + 211 + 110 + 220 = 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 = 12122211110193 and 12122211110202.

It is not an unprimeable number, because it can be changed into a prime (12122211110221) by changing a digit.

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, 46987980 + ... + 47245260.

It is an arithmetic number, because the mean of its divisors is an integer number (392855463490).

Almost surely, 212122211110220 is an apocalyptic number.

12122211110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122211110220 is an abundant number, since it is smaller than the sum of its proper divisors (25591913384820).

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

12122211110220 is a wasteful number, since it uses less digits than its factorization.

12122211110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344552 (or 344544 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122211110220 its reverse (2201111222121), we get a palindrome (14323322332341).

The spelling of 12122211110220 in words is "twelve trillion, one hundred twenty-two billion, two hundred eleven million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 87253 174506 257281 261759 349012 436265 514562 523518 771843 785277 872530 1029124 1047036 1286405 1308795 1543686 1570554 1745060 2315529 2355831 2572810 2617590 3087372 3141108 3859215 3926385 4631058 4711662 5145620 5235180 6946587 7718430 7852770 9262116 9423324 11577645 11779155 13893174 15436860 15705540 23155290 23558310 27786348 34732935 46310580 47116620 69465870 138931740 22448539093 44897078186 67345617279 89794156372 112242695465 134691234558 202036851837 224485390930 269382469116 336728086395 404073703674 448970781860 606110555511 673456172790 808147407348 1010184259185 1212221111022 1346912345580 2020368518370 2424442222044 3030552777555 4040737036740 6061105555110 12122211110220