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12020522205105 = 345199491487809
BaseRepresentation
bin1010111011101011111011…
…1101001011111110110001
31120120011001212020010210000
42232322332331023332301
53033421012141030410
641322052432100213
72350311513615201
oct256727675137661
946504055203700
1012020522205105
113914969457297
1214217a8694669
136926b832560b
142d7b2139a401
1515ca3493ddc0
hexaeebef4bfb1

12020522205105 has 40 divisors (see below), whose sum is σ = 21548993697000. Its totient is φ = 6410619500544.

The previous prime is 12020522205101. The next prime is 12020522205119. The reversal of 12020522205105 is 50150222502021.

It is a happy number.

12020522205105 is a `hidden beast` number, since 12 + 0 + 2 + 0 + 522 + 20 + 5 + 105 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 733119538176 + 11287402666929 = 856224^2 + 3359673^2 .

It is not a de Polignac number, because 12020522205105 - 22 = 12020522205101 is a prime.

It is a super-2 number, since 2×120205222051052 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12020522205101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7335441 + ... + 8823249.

It is an arithmetic number, because the mean of its divisors is an integer number (538724842425).

Almost surely, 212020522205105 is an apocalyptic number.

12020522205105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12020522205105 is a deficient number, since it is larger than the sum of its proper divisors (9528471491895).

12020522205105 is a wasteful number, since it uses less digits than its factorization.

12020522205105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507775 (or 1507766 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 12020522205105 its reverse (50150222502021), we get a palindrome (62170744707126).

The spelling of 12020522205105 in words is "twelve trillion, twenty billion, five hundred twenty-two million, two hundred five thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 19949 59847 99745 179541 299235 538623 897705 1487809 1615869 2693115 4463427 7439045 8079345 13390281 22317135 40170843 66951405 120512529 200854215 602562645 29680301741 89040905223 148401508705 267122715669 445204526115 801368147007 1335613578345 2404104441021 4006840735035 12020522205105