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20122001002220 = 22513711495172907
BaseRepresentation
bin1001001001101000001001…
…01110001100111011101100
32122020122101211212120011112
410210310010232030323230
510114134324224032340
6110443530351011152
74144523641311665
oct444640456147354
978218354776145
1020122001002220
116458768a937a7
12230b941509ab8
13b2c65bc06690
144d7ca524036c
1524d64584b065
hex124d04b8ceec

20122001002220 has 96 divisors (see below), whose sum is σ = 46151337931776. Its totient is φ = 7324428384000.

The previous prime is 20122001002153. The next prime is 20122001002237. The reversal of 20122001002220 is 2220010022102.

It is a junction number, because it is equal to n+sod(n) for n = 20122001002195 and 20122001002204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275959007 + ... + 276031913.

It is an arithmetic number, because the mean of its divisors is an integer number (480743103456).

Almost surely, 220122001002220 is an apocalyptic number.

20122001002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122001002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23075668965888).

20122001002220 is an abundant number, since it is smaller than the sum of its proper divisors (26029336929556).

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

20122001002220 is a wasteful number, since it uses less digits than its factorization.

20122001002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87951 (or 87949 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20122001002220 its reverse (2220010022102), we get a palindrome (22342011024322).

The spelling of 20122001002220 in words is "twenty trillion, one hundred twenty-two billion, one million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 260 284 355 710 923 1420 1846 3692 4615 9230 14951 18460 29902 59804 72907 74755 145814 149510 194363 291628 299020 364535 388726 729070 777452 947791 971815 1061521 1458140 1895582 1943630 2123042 3791164 3887260 4246084 4738955 5176397 5307605 9477910 10352794 10615210 13799773 18955820 20705588 21230420 25881985 27599546 51763970 55199092 67293161 68998865 103527940 134586322 137997730 269172644 275995460 336465805 672931610 1090032557 1345863220 2180065114 4360130228 5450162785 10900325570 14170423241 21800651140 28340846482 56681692964 70852116205 77392311547 141704232410 154784623094 283408464820 309569246188 386961557735 773923115470 1006100050111 1547846230940 2012200100222 4024400200444 5030500250555 10061000501110 20122001002220