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222120012120100 = 225261253914341519
BaseRepresentation
bin110010100000010001011000…
…011010111000000000100100
31002010110110120112220210100021
4302200101120122320000210
5213103203241100320400
62104224305212524524
764533432652126453
oct6240213032700044
91063413515823307
10222120012120100
11648576282042a6
1220ab441a780744
1396c2a9a675ba3
143cbc947510b9a
151aa2cb7e9e71a
hexca04586b8024

222120012120100 has 72 divisors (see below), whose sum is σ = 490095057603200. Its totient is φ = 87357054441600.

The previous prime is 222120012120067. The next prime is 222120012120119. The reversal of 222120012120100 is 1021210021222.

It is a happy number.

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, 8317141 + ... + 22658659.

Almost surely, 2222120012120100 is an apocalyptic number.

222120012120100 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 222120012120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245047528801600).

222120012120100 is an abundant number, since it is smaller than the sum of its proper divisors (267975045483100).

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

222120012120100 is a wasteful number, since it uses less digits than its factorization.

222120012120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14344133 (or 14344126 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222120012120100 its reverse (1021210021222), we get a palindrome (223141222141322).

The spelling of 222120012120100 in words is "two hundred twenty-two trillion, one hundred twenty billion, twelve million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 2539 3050 5078 6100 10156 12695 25390 50780 63475 126950 154879 253900 309758 619516 774395 1548790 3097580 3871975 7743950 14341519 15487900 28683038 57366076 71707595 143415190 286830380 358537975 717075950 874832659 1434151900 1749665318 3499330636 4374163295 8748326590 17496653180 21870816475 36413116741 43741632950 72826233482 87483265900 145652466964 182065583705 364131167410 728262334820 910327918525 1820655837050 2221200121201 3641311674100 4442400242402 8884800484804 11106000606005 22212001212010 44424002424020 55530003030025 111060006060050 222120012120100