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12001121120220 = 223516327528273
BaseRepresentation
bin1010111010100011101010…
…0011111010111111011100
31120111021222202122220121120
42232220322203322333130
53033111244001321340
641305123335330540
72346023653251411
oct256507243727734
946437882586546
1012001121120220
113907713005041
121419a93220a50
13690915a5682b
142d6c00858108
1515c29b5794d0
hexaea3a8fafdc

12001121120220 has 72 divisors (see below), whose sum is σ = 33810562605456. Its totient is φ = 3180664806912.

The previous prime is 12001121120171. The next prime is 12001121120221. The reversal of 12001121120220 is 2202112110021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12001121120220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001121120221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2169997 + ... + 5358276.

It is an arithmetic number, because the mean of its divisors is an integer number (469591147298).

Almost surely, 212001121120220 is an apocalyptic number.

12001121120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001121120220 is an abundant number, since it is smaller than the sum of its proper divisors (21809441485236).

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

12001121120220 is a wasteful number, since it uses less digits than its factorization.

12001121120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7528611 (or 7528446 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12001121120220 its reverse (2202112110021), we get a palindrome (14203233230241).

The spelling of 12001121120220 in words is "twelve trillion, one billion, one hundred twenty-one million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1630 1956 2445 3260 4890 9780 26569 53138 79707 106276 132845 159414 265690 318828 398535 531380 797070 1594140 7528273 15056546 22584819 30113092 37641365 45169638 75282730 90339276 112924095 150565460 225848190 451696380 1227108499 2454216998 3681325497 4908433996 6135542495 7362650994 12271084990 14725301988 18406627485 24542169980 36813254970 73626509940 200018685337 400037370674 600056056011 800074741348 1000093426685 1200112112022 2000186853370 2400224224044 3000280280055 4000373706740 6000560560110 12001121120220