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22112121221000 = 2353174193104327
BaseRepresentation
bin1010000011100011000010…
…01000010110111110001000
32220021220020202011112011122
411001301201020112332020
510344241111013033000
6115010100202014412
74441355656130126
oct501614110267610
986256222145148
1022112121221000
117055774a70738
1225915887a7408
13c45219652c55
14566337902916
152852c12b6085
hex141c61216f88

22112121221000 has 128 divisors (see below), whose sum is σ = 54916804051200. Its totient is φ = 8304692915200.

The previous prime is 22112121220999. The next prime is 22112121221039. The reversal of 22112121221000 is 12212121122.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 22112121221000.

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, 5570837 + ... + 8675163.

It is an arithmetic number, because the mean of its divisors is an integer number (429037531650).

Almost surely, 222112121221000 is an apocalyptic number.

22112121221000 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 22112121221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27458402025600).

22112121221000 is an abundant number, since it is smaller than the sum of its proper divisors (32804682830200).

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

22112121221000 is a wasteful number, since it uses less digits than its factorization.

22112121221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104784 (or 3104770 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22112121221000 its reverse (12212121122), we get a palindrome (22124333342122).

The spelling of 22112121221000 in words is "twenty-two trillion, one hundred twelve billion, one hundred twenty-one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 419 425 500 680 838 850 1000 1676 1700 2095 2125 3352 3400 4190 4250 7123 8380 8500 10475 14246 16760 17000 20950 28492 35615 41900 52375 56984 71230 83800 104750 142460 178075 209500 284920 356150 419000 712300 890375 1424600 1780750 3104327 3561500 6208654 7123000 12417308 15521635 24834616 31043270 52773559 62086540 77608175 105547118 124173080 155216350 211094236 263867795 310432700 388040875 422188472 527735590 620865400 776081750 1055471180 1300713013 1319338975 1552163500 2110942360 2601426026 2638677950 3104327000 5202852052 5277355900 6503565065 6596694875 10405704104 10554711800 13007130130 13193389750 22112121221 26014260260 26386779500 32517825325 44224242442 52028520520 52773559000 65035650650 88448484884 110560606105 130071301300 162589126625 176896969768 221121212210 260142602600 325178253250 442242424420 552803030525 650356506500 884484848840 1105606061050 1300713013000 2211212122100 2764015152625 4422424244200 5528030305250 11056060610500 22112121221000