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12211121010220 = 22511101550199901
BaseRepresentation
bin1011000110110001111110…
…0001111011011000101100
31121020101001000111122100021
42301230133201323120230
53100031333434311340
641545413410011524
72400136651001566
oct261543741733054
947211030448307
1012211121010220
113988786515640
12145271b876ba4
136a7671a25082
14303042a70336
1516298c888e4a
hexb1b1f87b62c

12211121010220 has 96 divisors (see below), whose sum is σ = 28256962612032. Its totient is φ = 4395600000000.

The previous prime is 12211121010217. The next prime is 12211121010241. The reversal of 12211121010220 is 2201012111221.

It is a super-2 number, since 2×122111210102202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211121010194 and 12211121010203.

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, 122182270 + ... + 122282170.

It is an arithmetic number, because the mean of its divisors is an integer number (294343360542).

Almost surely, 212211121010220 is an apocalyptic number.

12211121010220 is a gapful number since it is divisible by the number (10) 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 12211121010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128481306016).

12211121010220 is an abundant number, since it is smaller than the sum of its proper divisors (16045841601812).

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

12211121010220 is a wasteful number, since it uses less digits than its factorization.

12211121010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105523 (or 105521 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12211121010220 its reverse (2201012111221), we get a palindrome (14412133121441).

The spelling of 12211121010220 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5501 5555 11002 11110 22004 22220 27505 55010 60511 99901 110020 121022 199802 242044 302555 399604 499505 555601 605110 999010 1098911 1111202 1210220 1998020 2197822 2222404 2778005 4395644 5494555 5556010 6111611 10090001 10989110 11112020 12223222 20180002 21978220 24446444 30558055 40360004 50450005 61116110 100900010 110990011 122232220 201800020 221980022 443960044 549555401 554950055 1099110802 1109900110 2198221604 2219800220 2747777005 5495554010 6045109411 10991108020 12090218822 24180437644 30225547055 55505095501 60451094110 111010191002 120902188220 222020382004 277525477505 555050955010 610556050511 1110101910020 1221112101022 2442224202044 3052780252555 6105560505110 12211121010220