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211222111220000 = 255413997549039
BaseRepresentation
bin110000000001101011111010…
…111010000111000100100000
31000200212122012002201210000022
4300001223322322013010200
5210141130340433020000
62025122033123213012
762330202551646326
oct6001537272070440
91020778162653008
10211222111220000
11613358812642a1
121b834315817168
1390b220c8c581a
143a232c1acdd16
151964589e6a585
hexc01afae87120

211222111220000 has 120 divisors (see below), whose sum is σ = 520009581168000. Its totient is φ = 84428440992000.

The previous prime is 211222111219967. The next prime is 211222111220009. The reversal of 211222111220000 is 22111222112.

It is a super-2 number, since 2×2112221112200002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211222111220009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24205481 + ... + 31754519.

It is an arithmetic number, because the mean of its divisors is an integer number (4333413176400).

Almost surely, 2211222111220000 is an apocalyptic number.

211222111220000 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 211222111220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260004790584000).

211222111220000 is an abundant number, since it is smaller than the sum of its proper divisors (308787469948000).

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

211222111220000 is an equidigital number, since it uses as much as digits as its factorization.

211222111220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7550468 (or 7550445 counting only the distinct ones).

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

Adding to 211222111220000 its reverse (22111222112), we get a palindrome (211244222442112).

The spelling of 211222111220000 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred eleven million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1399 2000 2500 2798 4000 5000 5596 6995 10000 11192 13990 20000 22384 27980 34975 44768 55960 69950 111920 139900 174875 223840 279800 349750 559600 699500 874375 1119200 1399000 1748750 2798000 3497500 5596000 6995000 7549039 13990000 15098078 27980000 30196156 37745195 60392312 75490390 120784624 150980780 188725975 241569248 301961560 377451950 603923120 754903900 943629875 1207846240 1509807800 1887259750 3019615600 3774519500 4718149375 6039231200 7549039000 9436298750 10561105561 15098078000 18872597500 21122211122 30196156000 37745195000 42244422244 52805527805 75490390000 84488844488 105611055610 150980780000 168977688976 211222111220 264027639025 337955377952 422444222440 528055278050 844888444880 1056110556100 1320138195125 1689776889760 2112221112200 2640276390250 4224442224400 5280552780500 6600690975625 8448884448800 10561105561000 13201381951250 21122211122000 26402763902500 42244422244000 52805527805000 105611055610000 211222111220000