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120021121022022 = 232118771290753551
BaseRepresentation
bin11011010010100010011000…
…010010001011100001000110
3120201221220111021201010022100
4123102202120102023201012
5111212411223440201042
61103132535233412530
734165145160000633
oct3322423022134106
9521856437633270
10120021121022022
1135273742966710
1211564a9270a146
1351c7c3513593c
14218d0a61a718a
15dd2058a0b24c
hex6d289848b846

120021121022022 has 96 divisors (see below), whose sum is σ = 284037067851264. Its totient is φ = 36325072728000.

The previous prime is 120021121022021. The next prime is 120021121022057. The reversal of 120021121022022 is 220220121120021.

It is a happy number.

120021121022022 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 211 + 210 + 220 + 22 = 666.

120021121022022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 120021121021986 and 120021121022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021121022021) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2241222147 + ... + 2241275697.

It is an arithmetic number, because the mean of its divisors is an integer number (2958719456784).

Almost surely, 2120021121022022 is an apocalyptic number.

120021121022022 is an abundant number, since it is smaller than the sum of its proper divisors (164015946829242).

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

120021121022022 is a wasteful number, since it uses less digits than its factorization.

120021121022022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67354 (or 67351 counting only the distinct ones).

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

Adding to 120021121022022 its reverse (220220121120021), we get a palindrome (340241242142043).

The spelling of 120021121022022 in words is "one hundred twenty trillion, twenty-one billion, one hundred twenty-one million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 877 1754 2631 5262 7893 9647 12907 15786 19294 25814 28941 38721 53551 57882 77442 86823 107102 116163 141977 160653 173646 232326 283954 321306 425931 481959 589061 851862 963918 1178122 1277793 1767183 2555586 3534366 5301549 10603098 11319439 22638878 33958317 46964227 67916634 93928454 101874951 124513829 140892681 203749902 249027658 281785362 373541487 422678043 516606497 691182757 747082974 845356086 1033212994 1120624461 1382365514 1549819491 2073548271 2241248922 3099638982 4147096542 4649458473 6220644813 7603010327 9298916946 12441289626 15206020654 22809030981 45618061962 68427092943 136854185886 606167277889 1212334555778 1818501833667 3637003667334 5455505501001 6667840056779 10911011002002 13335680113558 20003520170337 40007040340674 60010560511011 120021121022022