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1222122001020 = 2235192347456769
BaseRepresentation
bin10001110010001100001…
…001011101001001111100
311022211111210011012101120
4101302030021131021330
5130010401213013040
62333233551510540
7154203215415564
oct21621411351174
94284453135346
101222122001020
11431332010968
12178a32228450
138b3267b463b
1443218585da4
1521bcbdb77d0
hex11c8c25d27c

1222122001020 has 96 divisors (see below), whose sum is σ = 3603586425600. Its totient is φ = 308614385664.

The previous prime is 1222122000997. The next prime is 1222122001021. The reversal of 1222122001020 is 201002212221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222122001021) 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 31 ways as a sum of consecutive naturals, for example, 2447196 + ... + 2903964.

It is an arithmetic number, because the mean of its divisors is an integer number (37537358600).

Almost surely, 21222122001020 is an apocalyptic number.

1222122001020 is a gapful number since it is divisible by the number (10) 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 1222122001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801793212800).

1222122001020 is an abundant number, since it is smaller than the sum of its proper divisors (2381464424580).

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

1222122001020 is a wasteful number, since it uses less digits than its factorization.

1222122001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459147 (or 459145 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1222122001020 its reverse (201002212221), we get a palindrome (1423124213241).

The spelling of 1222122001020 in words is "one trillion, two hundred twenty-two billion, one hundred twenty-two million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 2347 4694 7041 9388 11735 14082 23470 28164 35205 44593 46940 70410 89186 133779 140820 178372 222965 267558 445930 456769 535116 668895 891860 913538 1337790 1370307 1827076 2283845 2675580 2740614 4567690 5481228 6851535 8678611 9135380 13703070 17357222 26035833 27406140 34714444 43393055 52071666 86786110 104143332 130179165 173572220 260358330 520716660 1072036843 2144073686 3216110529 4288147372 5360184215 6432221058 10720368430 12864442116 16080552645 20368700017 21440736860 32161105290 40737400034 61106100051 64322210580 81474800068 101843500085 122212200102 203687000170 244424400204 305530500255 407374000340 611061000510 1222122001020