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122223220020 = 2232511187732887
BaseRepresentation
bin111000111010100010…
…0100101010100110100
3102200110221112220000200
41301311010211110310
54000303121020040
6132052031440500
711554543141266
oct1616504452464
9380427486020
10122223220020
114791a904240
121b830386130
13b6aa988985
145cb6709b36
1532a525c630
hex1c75125534

122223220020 has 144 divisors (see below), whose sum is σ = 404675526528. Its totient is φ = 29613185280.

The previous prime is 122223220019. The next prime is 122223220039. The reversal of 122223220020 is 20022322221.

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 = 122223219975 and 122223220002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3700017 + ... + 3732903.

It is an arithmetic number, because the mean of its divisors is an integer number (2810246712).

Almost surely, 2122223220020 is an apocalyptic number.

122223220020 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 122223220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202337763264).

122223220020 is an abundant number, since it is smaller than the sum of its proper divisors (282452306508).

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

122223220020 is a wasteful number, since it uses less digits than its factorization.

122223220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34790 (or 34785 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 122223220020 its reverse (20022322221), we get a palindrome (142245542241).

It can be divided in two parts, 122223 and 220020, that added together give a palindrome (342243).

The spelling of 122223220020 in words is "one hundred twenty-two billion, two hundred twenty-three million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1877 1980 3754 5631 7508 9385 11262 16893 18770 20647 22524 28155 32887 33786 37540 41294 56310 61941 65774 67572 82588 84465 98661 103235 112620 123882 131548 164435 168930 185823 197322 206470 247764 295983 309705 328870 337860 361757 371646 394644 412940 493305 591966 619410 657740 723514 743292 929115 986610 1085271 1183932 1238820 1447028 1479915 1808785 1858230 1973220 2170542 2959830 3255813 3617570 3716460 4341084 5426355 5919660 6511626 7235140 10852710 13023252 16279065 21705420 32558130 61728899 65116260 123457798 185186697 246915596 308644495 370373394 555560091 617288990 679017889 740746788 925933485 1111120182 1234577980 1358035778 1851866970 2037053667 2222240364 2716071556 2777800455 3395089445 3703733940 4074107334 5555600910 6111161001 6790178890 8148214668 10185268335 11111201820 12222322002 13580357780 20370536670 24444644004 30555805005 40741073340 61111610010 122223220020