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1222112102022 = 233710164149939
BaseRepresentation
bin10001110010001011100…
…011101100011010000110
311022211111002112021112000
4101302023203230122012
5130010341144231042
62333232555410130
7154203035316540
oct21621343543206
94284432467460
101222112102022
1143132746a679
12178a2aa53946
138b324729a46
144321712a690
1521bcb0ae74c
hex11c8b8ec686

1222112102022 has 128 divisors (see below), whose sum is σ = 3139460121600. Its totient is φ = 345171456000.

The previous prime is 1222112102021. The next prime is 1222112102027. The reversal of 1222112102022 is 2202012112221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1222112101986 and 1222112102004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222112102021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24447129 + ... + 24497067.

It is an arithmetic number, because the mean of its divisors is an integer number (24527032200).

Almost surely, 21222112102022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222112102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569730060800).

1222112102022 is an abundant number, since it is smaller than the sum of its proper divisors (1917348019578).

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

1222112102022 is a wasteful number, since it uses less digits than its factorization.

1222112102022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50699 (or 50693 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1222112102022 its reverse (2202012112221), we get a palindrome (3424124214243).

The spelling of 1222112102022 in words is "one trillion, two hundred twenty-two billion, one hundred twelve million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 101 126 189 202 303 378 606 641 707 909 1282 1414 1818 1923 2121 2727 3846 4242 4487 5454 5769 6363 8974 11538 12726 13461 17307 19089 26922 34614 38178 40383 49939 64741 80766 99878 121149 129482 149817 194223 242298 299634 349573 388446 449451 453187 582669 699146 898902 906374 1048719 1165338 1348353 1359561 1748007 2097438 2696706 2719122 3146157 3496014 4078683 5043839 6292314 8157366 9438471 10087678 12236049 15131517 18876942 24472098 30263034 32010899 35306873 45394551 64021798 70613746 90789102 96032697 105920619 136183653 192065394 211841238 224076293 272367306 288098091 317761857 448152586 576196182 635523714 672228879 864294273 953285571 1344457758 1728588546 1906571142 2016686637 3233100799 4033373274 6050059911 6466201598 9699302397 12100119822 19398604794 22631705593 29097907191 45263411186 58195814382 67895116779 87293721573 135790233558 174587443146 203685350337 407370700674 611056051011 1222112102022