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222122000002120 = 23531349495125487
BaseRepresentation
bin110010100000010011001110…
…111010000010110001001000
31002010110122201002110122211021
4302200103032322002301020
5213103221324000031440
62104225234344042224
764533533140631041
oct6240231672026110
91063418632418737
10222122000002120
11648584583244a9
1220ab4894463374
1396c302646963a
143cbca955338c8
151aa2d8276b84a
hexca04cee82c48

222122000002120 has 64 divisors (see below), whose sum is σ = 515911120128000. Its totient is φ = 85980232669440.

The previous prime is 222122000002079. The next prime is 222122000002169. The reversal of 222122000002120 is 21200000221222.

It is a junction number, because it is equal to n+sod(n) for n = 222122000002094 and 222122000002103.

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 15 ways as a sum of consecutive naturals, for example, 40774017 + ... + 45899503.

It is an arithmetic number, because the mean of its divisors is an integer number (8061111252000).

Almost surely, 2222122000002120 is an apocalyptic number.

222122000002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222122000002120 is an abundant number, since it is smaller than the sum of its proper divisors (293789120125880).

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

222122000002120 is a wasteful number, since it uses less digits than its factorization.

222122000002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5160478 (or 5160474 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 222122000002120 its reverse (21200000221222), we get a palindrome (243322000223342).

The spelling of 222122000002120 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 34949 69898 139796 174745 279592 349490 698980 1083419 1397960 2166838 4333676 5125487 5417095 8667352 10250974 10834190 20501948 21668380 25627435 41003896 43336760 51254870 102509740 158890097 205019480 317780194 635560388 794450485 1271120776 1588900970 3177801940 6355603880 179130645163 358261290326 716522580652 895653225815 1433045161304 1791306451630 3582612903260 5553050000053 7165225806520 11106100000106 22212200000212 27765250000265 44424400000424 55530500000530 111061000001060 222122000002120