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1222101021220 = 2251979334712163
BaseRepresentation
bin10001110010001010111…
…001011011001000100100
311022211110022200022111221
4101302022321123020210
5130010330330134340
62333231522110124
7154202542166152
oct21621271331044
94284408608457
101222101021220
11431321191492
12178a271ab344
138b32234a261
14432158843d2
1521bca12144a
hex11c8ae5b224

1222101021220 has 96 divisors (see below), whose sum is σ = 2736724838400. Its totient is φ = 457075592064.

The previous prime is 1222101021217. The next prime is 1222101021223. The reversal of 1222101021220 is 221201012221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1222101021217) and next prime (1222101021223).

It is a junction number, because it is equal to n+sod(n) for n = 1222101021194 and 1222101021203.

It is not an unprimeable number, because it can be changed into a prime (1222101021223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100470859 + ... + 100483021.

It is an arithmetic number, because the mean of its divisors is an integer number (28507550400).

Almost surely, 21222101021220 is an apocalyptic number.

1222101021220 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 1222101021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368362419200).

1222101021220 is an abundant number, since it is smaller than the sum of its proper divisors (1514623817180).

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

1222101021220 is a wasteful number, since it uses less digits than its factorization.

1222101021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15617 (or 15615 counting only the distinct ones).

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

Adding to 1222101021220 its reverse (221201012221), we get a palindrome (1443302033441).

The spelling of 1222101021220 in words is "one trillion, two hundred twenty-two billion, one hundred one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 79 95 158 190 316 380 395 790 1501 1580 3002 3347 6004 6694 7505 12163 13388 15010 16735 24326 30020 33470 48652 60815 63593 66940 121630 127186 231097 243260 254372 264413 317965 462194 528826 635930 924388 960877 1057652 1155485 1271860 1322065 1921754 2310970 2644130 3843508 4621940 4804385 5023847 5288260 9608770 10047694 18256663 19217540 20095388 25119235 36513326 40709561 50238470 73026652 81419122 91283315 100476940 162838244 182566630 203547805 365133260 407095610 773481659 814191220 1546963318 3093926636 3216055319 3867408295 6432110638 7734816590 12864221276 15469633180 16080276595 32160553190 61105051061 64321106380 122210102122 244420204244 305525255305 611050510610 1222101021220