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20122112010220 = 225111716333007631
BaseRepresentation
bin1001001001101000010110…
…10101101010011111101100
32122020122200120202100111221
410210310023111222133230
510114140041133311340
6110443545354153124
74144526460002323
oct444641325523754
978218616670457
1020122112010220
116458815713750
12230b9727227a4
13b2c678c0279c
144d7cb5c990ba
1524d65047744a
hex124d0b56a7ec

20122112010220 has 96 divisors (see below), whose sum is σ = 49109018950656. Its totient is φ = 6844462156800.

The previous prime is 20122112010199. The next prime is 20122112010229. The reversal of 20122112010220 is 2201021122102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20122112010194 and 20122112010203.

It is not an unprimeable number, because it can be changed into a prime (20122112010229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15894196 + ... + 17113435.

It is an arithmetic number, because the mean of its divisors is an integer number (511552280736).

Almost surely, 220122112010220 is an apocalyptic number.

20122112010220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122112010220 is an abundant number, since it is smaller than the sum of its proper divisors (28986906940436).

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

20122112010220 is a wasteful number, since it uses less digits than its factorization.

20122112010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33007831 (or 33007829 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20122112010220 its reverse (2201021122102), we get a palindrome (22323133132322).

The spelling of 20122112010220 in words is "twenty trillion, one hundred twenty-two billion, one hundred twelve million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 163 170 187 220 326 340 374 652 748 815 935 1630 1793 1870 2771 3260 3586 3740 5542 7172 8965 11084 13855 17930 27710 30481 35860 55420 60962 121924 152405 304810 609620 33007631 66015262 132030524 165038155 330076310 363083941 561129727 660152620 726167882 1122259454 1452335764 1815419705 2244518908 2805648635 3630839410 5380243853 5611297270 6172426997 7261678820 10760487706 11222594540 12344853994 21520975412 24689707988 26901219265 30862134985 53802438530 59182682383 61724269970 91464145501 107604877060 118365364766 123448539940 182928291002 236730729532 295913411915 365856582004 457320727505 591826823830 914641455010 1006105600511 1183653647660 1829282910020 2012211201022 4024422402044 5030528002555 10061056005110 20122112010220