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122101221112220 = 22572521345954613
BaseRepresentation
bin11011110000110011100111…
…111010010011100110011100
3121000022202121001000011012202
4123300303213322103212130
5112001001300101042340
61111404305425351032
734501344041016530
oct3360634772234634
9530282531004182
10122101221112220
11359a5923166849
121184004ba98478
13531913247768c
142221a32c07bc0
15e1b1edb78c15
hex6f0ce7e9399c

122101221112220 has 48 divisors (see below), whose sum is σ = 293159172266688. Its totient is φ = 41846669867520.

The previous prime is 122101221112183. The next prime is 122101221112223. The reversal of 122101221112220 is 22211122101221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122101221112192 and 122101221112201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101221112223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172624367 + ... + 173330246.

It is an arithmetic number, because the mean of its divisors is an integer number (6107482755556).

Almost surely, 2122101221112220 is an apocalyptic number.

122101221112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101221112220 is an abundant number, since it is smaller than the sum of its proper divisors (171057951154468).

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

122101221112220 is a wasteful number, since it uses less digits than its factorization.

122101221112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345957150 (or 345957148 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122101221112220 its reverse (22211122101221), we get a palindrome (144312343213441).

The spelling of 122101221112220 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twenty-one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 2521 5042 10084 12605 17647 25210 35294 50420 70588 88235 176470 352940 345954613 691909226 1383818452 1729773065 2421682291 3459546130 4843364582 6919092260 9686729164 12108411455 24216822910 48433645820 872151579373 1744303158746 3488606317492 4360757896865 6105061055611 8721515793730 12210122111222 17443031587460 24420244222444 30525305278055 61050610556110 122101221112220