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120010010022 = 235726138221
BaseRepresentation
bin110111111000100100…
…1110110110110100110
3102110202201000011200000
41233301021312312212
53431240030310042
6131044251002130
711445650153100
oct1576111666646
9373681004600
10120010010022
1146994581871
121b313139346
13b4172b0666
145b467d0570
1531c5cd174c
hex1bf1276da6

120010010022 has 144 divisors (see below), whose sum is σ = 314226883152. Its totient is φ = 34228474560.

The previous prime is 120010010017. The next prime is 120010010027. The reversal of 120010010022 is 220010010021.

It is an interprime number because it is at equal distance from previous prime (120010010017) and next prime (120010010027).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120010009986 and 120010010013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120010010027) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14593872 + ... + 14602092.

It is an arithmetic number, because the mean of its divisors is an integer number (2182131133).

Almost surely, 2120010010022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120010010022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157113441576).

120010010022 is an abundant number, since it is smaller than the sum of its proper divisors (194216873130).

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

120010010022 is an equidigital number, since it uses as much as digits as its factorization.

120010010022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8865 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120010010022 its reverse (220010010021), we get a palindrome (340020020043).

Subtracting 120010010022 from its reverse (220010010021), we obtain a palindrome (99999999999).

The spelling of 120010010022 in words is "one hundred twenty billion, ten million, ten thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 613 882 1134 1226 1323 1701 1839 2646 3402 3678 3969 4291 5517 7938 8221 8582 11034 11907 12873 16442 16551 23814 24663 25746 30037 33102 38619 49326 49653 57547 60074 73989 77238 90111 99306 115094 115857 147978 148959 172641 180222 221967 231714 270333 297918 345282 347571 402829 443934 517923 540666 665901 695142 805658 810999 1035846 1042713 1208487 1331802 1553769 1621998 1997703 2085426 2416974 2432997 3107538 3625461 3995406 4661307 4865994 5039473 7250922 7298991 9322614 10078946 10876383 13983921 14597982 15118419 21752766 27967842 30236838 32629149 35276311 45355257 65258298 70552622 90710514 97887447 105828933 136065771 195774894 211657866 246934177 272131542 317486799 408197313 493868354 634973598 740802531 816394626 952460397 1224591939 1481605062 1904920794 2222407593 2449183878 2857381191 4444815186 5714762382 6667222779 8572143573 13334445558 17144287146 20001668337 40003336674 60005005011 120010010022