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122201220020220 = 223351120572595963
BaseRepresentation
bin11011110010010000110000…
…010011110111011111111100
3121000200022201010121000112000
4123302100300103313133330
5112004121044311121340
61111522244313142300
734511514102506415
oct3362206023673774
9530608633530460
10122201220020220
1135a34278a16470
12118574b93ba990
1353256aa994063
1422267dba6280c
15e1db02c49d30
hex6f24304f77fc

122201220020220 has 96 divisors (see below), whose sum is σ = 414743534634240. Its totient is φ = 29624538185280.

The previous prime is 122201220020189. The next prime is 122201220020267. The reversal of 122201220020220 is 22020022102221.

122201220020220 is a `hidden beast` number, since 1 + 2 + 2 + 201 + 220 + 0 + 20 + 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 = 122201220020193 and 122201220020202.

It is a congruent number.

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, 10286292042 + ... + 10286303921.

It is an arithmetic number, because the mean of its divisors is an integer number (4320245152440).

Almost surely, 2122201220020220 is an apocalyptic number.

122201220020220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201220020220 is an abundant number, since it is smaller than the sum of its proper divisors (292542314614020).

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

122201220020220 is a wasteful number, since it uses less digits than its factorization.

122201220020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20572595992 (or 20572595984 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122201220020220 its reverse (22020022102221), we get a palindrome (144221242122441).

The spelling of 122201220020220 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred twenty million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 20572595963 41145191926 61717787889 82290383852 102862979815 123435575778 185153363667 205725959630 226298555593 246871151556 308588939445 370306727334 411451919260 452597111186 555460091001 617177878890 678895666779 740613454668 905194222372 925766818335 1110920182002 1131492777965 1234355757780 1357791333558 1851533636670 2036687000337 2221840364004 2262985555930 2715582667116 2777300455005 3394478333895 3703067273340 4073374000674 4525971111860 5554600910010 6110061001011 6788956667790 8146748001348 10183435001685 11109201820020 12220122002022 13577913335580 20366870003370 24440244004044 30550305005055 40733740006740 61100610010110 122201220020220