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222120221010112 = 26172276411403057
BaseRepresentation
bin110010100000010001100100…
…110111101110100011000000
31002010110111010002222111120101
4302200101210313232203000
5213103204203034310422
62104224342034052144
764533441066511315
oct6240214467564300
91063414102874511
10222120221010112
1164857725109477
1220ab447871a054
1396c2b01a23749
143cbc967168d0c
151aa2ccb4b2c27
hexca0464dee8c0

222120221010112 has 112 divisors (see below), whose sum is σ = 469485004709088. Its totient is φ = 103904266158080.

The previous prime is 222120221010071. The next prime is 222120221010113. The reversal of 222120221010112 is 211010122021222.

It is a self number, because there is not a number n which added to its sum of digits gives 222120221010112.

It is not an unprimeable number, because it can be changed into a prime (222120221010113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157610088 + ... + 159013144.

Almost surely, 2222120221010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222120221010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234742502354544).

222120221010112 is an abundant number, since it is smaller than the sum of its proper divisors (247364783698976).

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

222120221010112 is a wasteful number, since it uses less digits than its factorization.

222120221010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403954 (or 1403944 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 222120221010112 its reverse (211010122021222), we get a palindrome (433130343031334).

The spelling of 222120221010112 in words is "two hundred twenty-two trillion, one hundred twenty billion, two hundred twenty-one million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 227 272 454 544 641 908 1088 1282 1816 2564 3632 3859 5128 7264 7718 10256 10897 14528 15436 20512 21794 30872 41024 43588 61744 87176 123488 145507 174352 246976 291014 348704 582028 697408 1164056 1403057 2328112 2473619 2806114 4656224 4947238 5612228 9312448 9894476 11224456 19788952 22448912 23851969 39577904 44897824 47703938 79155808 89795648 95407876 158311616 190815752 318493939 381631504 636987878 763263008 899359537 1273975756 1526526016 1798719074 2547951512 3597438148 5095903024 5414396963 7194876296 10191806048 10828793926 14389752592 15289112129 20383612096 21657587852 28779505184 30578224258 43315175704 57559010368 61156448516 86630351408 122312897032 173260702816 204154614899 244625794064 346521405632 408309229798 489251588128 816618459596 978503176256 1633236919192 3266473838384 3470628453283 6532947676768 6941256906566 13065895353536 13882513813132 27765027626264 55530055252528 111060110505056 222120221010112