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12122120111202 = 234831196975323
BaseRepresentation
bin1011000001100110011010…
…1010011100010001100010
31120220212022101121112010000
42300121212222130101202
53042102100222024302
641440454115520430
72360536302563103
oct260314652342142
946825271545100
1012122120111202
113953a64863942
1214394215b9116
1369c159bb6a0a
142dc9dc7283aa
151604ce0b231c
hexb0666a9c462

12122120111202 has 80 divisors (see below), whose sum is σ = 27492449513760. Its totient is φ = 3991636965888.

The previous prime is 12122120111177. The next prime is 12122120111209. The reversal of 12122120111202 is 20211102122121.

12122120111202 is a `hidden beast` number, since 121 + 221 + 201 + 1 + 120 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12122120111209) 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 39 ways as a sum of consecutive naturals, for example, 160897513 + ... + 160972835.

It is an arithmetic number, because the mean of its divisors is an integer number (343655618922).

Almost surely, 212122120111202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122120111202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13746224756880).

12122120111202 is an abundant number, since it is smaller than the sum of its proper divisors (15370329402558).

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

12122120111202 is a wasteful number, since it uses less digits than its factorization.

12122120111202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87389 (or 87380 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122120111202 its reverse (20211102122121), we get a palindrome (32333222233323).

The spelling of 12122120111202 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty million, one hundred eleven thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 83 162 166 249 498 747 1494 2241 4482 6723 11969 13446 23938 35907 71814 75323 107721 150646 215442 225969 323163 451938 646326 677907 969489 993427 1355814 1938978 1986854 2033721 2980281 4067442 5960562 6101163 6251809 8940843 12202326 12503618 17881686 18755427 26822529 37510854 53645058 56266281 80467587 112532562 160935174 168798843 337597686 506396529 901540987 1012793058 1803081974 2704622961 5409245922 8113868883 16227737766 24341606649 48683213298 73024819947 74827901921 146049639894 149655803842 224483705763 448967411526 673451117289 1346902234578 2020353351867 4040706703734 6061060055601 12122120111202