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21112012221200 = 2452431408787133
BaseRepresentation
bin1001100110011100001011…
…11111010010101100010000
32202202021210102122100001222
410303032011333102230100
510231344400112034300
6112522420255144212
74306202225653325
oct463160577225420
982667712570058
1021112012221200
1167aa61056766a
12244b796215068
13ba1b149123b4
1452db80c04b4c
1526928a1bd785
hex133385fd2b10

21112012221200 has 120 divisors (see below), whose sum is σ = 51905461700928. Its totient is φ = 8247733885440.

The previous prime is 21112012221199. The next prime is 21112012221203. The reversal of 21112012221200 is 212221021112.

It is not an unprimeable number, because it can be changed into a prime (21112012221203) 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, 242252834 + ... + 242339966.

Almost surely, 221112012221200 is an apocalyptic number.

21112012221200 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 21112012221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25952730850464).

21112012221200 is an abundant number, since it is smaller than the sum of its proper divisors (30793449479728).

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

21112012221200 is a wasteful number, since it uses less digits than its factorization.

21112012221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101281 (or 101270 counting only the distinct ones).

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

Adding to 21112012221200 its reverse (212221021112), we get a palindrome (21324233242312).

The spelling of 21112012221200 in words is "twenty-one trillion, one hundred twelve billion, twelve million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 172 200 215 344 400 430 688 860 1075 1720 2150 3440 4300 8600 14087 17200 28174 56348 70435 87133 112696 140870 174266 225392 281740 348532 352175 435665 563480 605741 697064 704350 871330 1126960 1211482 1394128 1408700 1742660 2178325 2422964 2817400 3028705 3485320 3746719 4356650 4845928 5634800 6057410 6970640 7493438 8713300 9691856 12114820 14986876 15143525 17426600 18733595 24229640 29973752 30287050 34853200 37467190 48459280 59947504 60574100 74934380 93667975 121148200 149868760 187335950 242296400 299737520 374671900 749343800 1227442571 1498687600 2454885142 4909770284 6137212855 9819540568 12274425710 19639081136 24548851420 30686064275 49097702840 52780030553 61372128550 98195405680 105560061106 122744257100 211120122212 245488514200 263900152765 422240244424 490977028400 527800305530 844480488848 1055600611060 1319500763825 2111201222120 2639001527650 4222402444240 5278003055300 10556006110600 21112012221200