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21122022221200 = 2452127443938573
BaseRepresentation
bin1001100110101110110101…
…01000011010010110010000
32202210020122001020000121201
410303113122220122112100
510232030400142034300
6112531153440200544
74310005254364645
oct463273250322620
982706561200551
1021122022221200
11680388799183a
12245170a609154
13ba2a4b6c1414
1453045040bdcc
15269673da466a
hex1335daa1a590

21122022221200 has 120 divisors (see below), whose sum is σ = 51260737102848. Its totient is φ = 8363352291840.

The previous prime is 21122022221189. The next prime is 21122022221299. The reversal of 21122022221200 is 212222022112.

It is a super-2 number, since 2×211220222212002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22035114 + ... + 22973686.

Almost surely, 221122022221200 is an apocalyptic number.

21122022221200 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 21122022221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25630368551424).

21122022221200 is an abundant number, since it is smaller than the sum of its proper divisors (30138714881648).

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

21122022221200 is a wasteful number, since it uses less digits than its factorization.

21122022221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939161 (or 939150 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 21122022221200 its reverse (212222022112), we get a palindrome (21334244243312).

The spelling of 21122022221200 in words is "twenty-one trillion, one hundred twenty-two billion, twenty-two million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 127 200 254 400 443 508 635 886 1016 1270 1772 2032 2215 2540 3175 3544 4430 5080 6350 7088 8860 10160 11075 12700 17720 22150 25400 35440 44300 50800 56261 88600 112522 177200 225044 281305 450088 562610 900176 938573 1125220 1406525 1877146 2250440 2813050 3754292 4500880 4692865 5626100 7508584 9385730 11252200 15017168 18771460 22504400 23464325 37542920 46928650 75085840 93857300 119198771 187714600 238397542 375429200 415787839 476795084 595993855 831575678 953590168 1191987710 1663151356 1907180336 2078939195 2383975420 2979969275 3326302712 4157878390 4767950840 5959938550 6652605424 8315756780 9535901680 10394695975 11919877100 16631513560 20789391950 23839754200 33263027120 41578783900 47679508400 52805055553 83157567800 105610111106 166315135600 211220222212 264025277765 422440444424 528050555530 844880888848 1056101111060 1320126388825 2112202222120 2640252777650 4224404444240 5280505555300 10561011110600 21122022221200