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12122221201020 = 2232579620810477
BaseRepresentation
bin1011000001100110110010…
…1100000100011001111100
31120220212120102211102021100
42300121230230010121330
53042102302111413040
641440512130333100
72360541641044440
oct260315454043174
946825512742240
1012122221201020
11395400692a147
12143944b42a190
1369c174b1c588
142dca0bd20820
151604d7dceb30
hexb066cb0467c

12122221201020 has 72 divisors (see below), whose sum is σ = 42023700167904. Its totient is φ = 2770793417088.

The previous prime is 12122221201007. The next prime is 12122221201033. The reversal of 12122221201020 is 2010212222121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12122221201007) and next prime (12122221201033).

It is a super-3 number, since 3×121222212010203 (a number of 40 digits) contains 333 as substring.

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 = 12122221200984 and 12122221201002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4810403979 + ... + 4810406498.

It is an arithmetic number, because the mean of its divisors is an integer number (583662502332).

Almost surely, 212122221201020 is an apocalyptic number.

12122221201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122221201020 is an abundant number, since it is smaller than the sum of its proper divisors (29901478966884).

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

12122221201020 is a wasteful number, since it uses less digits than its factorization.

12122221201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9620810499 (or 9620810494 counting only the distinct ones).

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

Adding to 12122221201020 its reverse (2010212222121), we get a palindrome (14132433423141).

The spelling of 12122221201020 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 9620810477 19241620954 28862431431 38483241908 48104052385 57724862862 67345673339 86587294293 96208104770 115449725724 134691346678 144312157155 173174588586 192416209540 202037020017 269382693356 288624314310 336728366695 346349177172 404074040034 432936471465 577248628620 606111060051 673456733390 808148080068 865872942930 1010185100085 1212222120102 1346913466780 1731745885860 2020370200170 2424444240204 3030555300255 4040740400340 6061110600510 12122221201020