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122320211220 = 223254211614149
BaseRepresentation
bin111000111101011011…
…0100100110100010100
3102200201201001112221100
41301322312210310110
54001002433224340
6132105414350100
711560131432414
oct1617266446424
9380651045840
10122320211220
114796a630159
121b85895b330
13b6c4ab7b0c
145cc5556644
1532ada1a830
hex1c7ada4d14

122320211220 has 72 divisors (see below), whose sum is σ = 371919529800. Its totient is φ = 32541223680.

The previous prime is 122320211201. The next prime is 122320211243. The reversal of 122320211220 is 22112023221.

122320211220 is a `hidden beast` number, since 1 + 2 + 232 + 0 + 211 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8280272016 + 114039939204 = 90996^2 + 337698^2 .

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 = 122320211193 and 122320211202.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 731295 + ... + 882854.

It is an arithmetic number, because the mean of its divisors is an integer number (5165549025).

Almost surely, 2122320211220 is an apocalyptic number.

122320211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122320211220 is an abundant number, since it is smaller than the sum of its proper divisors (249599318580).

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

122320211220 is a wasteful number, since it uses less digits than its factorization.

122320211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614585 (or 1614580 counting only the distinct ones).

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

Adding to 122320211220 its reverse (22112023221), we get a palindrome (144432234441).

The spelling of 122320211220 in words is "one hundred twenty-two billion, three hundred twenty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 421 842 1263 1684 2105 2526 3789 4210 5052 6315 7578 8420 12630 15156 18945 25260 37890 75780 1614149 3228298 4842447 6456596 8070745 9684894 14527341 16141490 19369788 24212235 29054682 32282980 48424470 58109364 72636705 96848940 145273410 290546820 679556729 1359113458 2038670187 2718226916 3397783645 4077340374 6116010561 6795567290 8154680748 10193350935 12232021122 13591134580 20386701870 24464042244 30580052805 40773403740 61160105610 122320211220