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122212200202020 = 223351713312875839
BaseRepresentation
bin11011110010011010111110…
…110001111011111100100100
3121000201101001100202001022000
4123302122332301323330210
5112004311041222431040
61111531302032405300
734512353151511305
oct3362327661737444
9530641040661260
10122212200202020
1135a389a2a48585
12118596626a6830
13532673a76cc56
1422271600547ac
15e1e046bc2130
hex6f26bec7bf24

122212200202020 has 96 divisors (see below), whose sum is σ = 402581365401600. Its totient is φ = 30672865930752.

The previous prime is 122212200201989. The next prime is 122212200202031. The reversal of 122212200202020 is 20202002212221.

122212200202020 is a `hidden beast` number, since 1 + 2 + 221 + 220 + 0 + 20 + 202 + 0 = 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 = 122212200201984 and 122212200202002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6656428740 + ... + 6656447099.

It is an arithmetic number, because the mean of its divisors is an integer number (4193555889600).

Almost surely, 2122212200202020 is an apocalyptic number.

122212200202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122212200202020 is an abundant number, since it is smaller than the sum of its proper divisors (280369165199580).

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

122212200202020 is a wasteful number, since it uses less digits than its factorization.

122212200202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13312875874 (or 13312875866 counting only the distinct ones).

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

Adding to 122212200202020 its reverse (20202002212221), we get a palindrome (142414202414241).

The spelling of 122212200202020 in words is "one hundred twenty-two trillion, two hundred twelve billion, two hundred million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 13312875839 26625751678 39938627517 53251503356 66564379195 79877255034 119815882551 133128758390 159754510068 199693137585 226318889263 239631765102 266257516780 359447647653 399386275170 452637778526 479263530204 599079412755 678956667789 718895295306 798772550340 905275557052 1131594446315 1198158825510 1357913335578 1437790590612 1797238238265 2036870003367 2263188892630 2396317651020 2715826671156 3394783338945 3594476476530 4073740006734 4526377785260 6110610010101 6789566677890 7188952953060 8147480013468 10184350016835 12221220020202 13579133355780 20368700033670 24442440040404 30553050050505 40737400067340 61106100101010 122212200202020