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120121122020022 = 23413034003142159
BaseRepresentation
bin11011010011111111100000…
…110011101101101010110110
3120202022110121112020011120000
4123103333200303231222312
5111221031024214120042
61103250514234052130
734205315245314024
oct3323774063555266
9522273545204500
10120121122020022
1135302099913602
121158034087a046
1352044b0c046c6
142193c71407714
15dd495cd9174c
hex6d3fe0cedab6

120121122020022 has 80 divisors (see below), whose sum is σ = 269436048161280. Its totient is φ = 39999368345328.

The previous prime is 120121122019909. The next prime is 120121122020033. The reversal of 120121122020022 is 220020221121021.

It is a happy number.

120121122020022 is a `hidden beast` number, since 1 + 201 + 21 + 1 + 220 + 200 + 22 = 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 = 120121122019977 and 120121122020004.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 844906179 + ... + 845048337.

It is an arithmetic number, because the mean of its divisors is an integer number (3367950602016).

Almost surely, 2120121122020022 is an apocalyptic number.

120121122020022 is an abundant number, since it is smaller than the sum of its proper divisors (149314926141258).

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

120121122020022 is a wasteful number, since it uses less digits than its factorization.

120121122020022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147479 (or 147470 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120121122020022 its reverse (220020221121021), we get a palindrome (340141343141043).

The spelling of 120121122020022 in words is "one hundred twenty trillion, one hundred twenty-one billion, one hundred twenty-two million, twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 1303 2606 3909 4003 7818 8006 11727 12009 23454 24018 35181 36027 70362 72054 105543 108081 142159 211086 216162 284318 324243 426477 648486 852954 1279431 2558862 3838293 5215909 7676586 10431818 11514879 15647727 23029758 31295454 46943181 93886362 140829543 185233177 281659086 370466354 422488629 555699531 569062477 844977258 1111399062 1138124954 1667098593 1707187431 3334197186 3414374862 5001295779 5121562293 10002591558 10243124586 15003887337 15364686879 30007774674 30729373758 46094060637 92188121274 741488407531 1482976815062 2224465222593 4448930445186 6673395667779 13346791335558 20020187003337 40040374006674 60060561010011 120121122020022