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22001211002120 = 2357151811641639
BaseRepresentation
bin1010000000010100011100…
…10111011100110100001000
32212220021222020000122020012
411000022032113130310020
510340431440004031440
6114443114455051052
74430351342620250
oct500121627346410
985807866018205
1022001211002120
117012730049719
122573b95070a88
13c379226c22bc
14560c158a2960
1528247e323e65
hex14028e5dcd08

22001211002120 has 128 divisors (see below), whose sum is σ = 57019518259200. Its totient is φ = 7484065632000.

The previous prime is 22001211002077. The next prime is 22001211002137. The reversal of 22001211002120 is 2120011210022.

It is a super-2 number, since 2×220012110021202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22001211002095 and 22001211002104.

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, 33968261 + ... + 34609899.

It is an arithmetic number, because the mean of its divisors is an integer number (445464986400).

Almost surely, 222001211002120 is an apocalyptic number.

22001211002120 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 22001211002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28509759129600).

22001211002120 is an abundant number, since it is smaller than the sum of its proper divisors (35018307257080).

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

22001211002120 is a wasteful number, since it uses less digits than its factorization.

22001211002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642619 (or 642615 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22001211002120 its reverse (2120011210022), we get a palindrome (24121222212142).

The spelling of 22001211002120 in words is "twenty-two trillion, one billion, two hundred eleven million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 151 280 302 604 755 811 1057 1208 1510 1622 2114 3020 3244 4055 4228 5285 5677 6040 6488 8110 8456 10570 11354 16220 21140 22708 28385 32440 42280 45416 56770 113540 122461 227080 244922 489844 612305 641639 857227 979688 1224610 1283278 1714454 2449220 2566556 3208195 3428908 4286135 4491473 4898440 5133112 6416390 6857816 8572270 8982946 12832780 17144540 17965892 22457365 25665560 34289080 35931784 44914730 89829460 96887489 179658920 193774978 387549956 484437445 520369229 678212423 775099912 968874890 1040738458 1356424846 1937749780 2081476916 2601846145 2712849692 3391062115 3642584603 3875499560 4162953832 5203692290 5425699384 6782124230 7285169206 10407384580 13564248460 14570338412 18212923015 20814769160 27128496920 29140676824 36425846030 72851692060 78575753579 145703384120 157151507158 314303014316 392878767895 550030275053 628606028632 785757535790 1100060550106 1571515071580 2200121100212 2750151375265 3143030143160 4400242200424 5500302750530 11000605501060 22001211002120