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12122121011121 = 3211941130122919
BaseRepresentation
bin1011000001100110011010…
…1101110111111110110001
31120220212022110022020120100
42300121212231313332301
53042102100434323441
641440454151103013
72360536313331552
oct260314655677661
946825273266510
1012122121011121
113953a65318a80
121439421971a69
1369c15a140504
142dc9dc8c0329
151604ce1ddcb6
hexb0666b77fb1

12122121011121 has 24 divisors (see below), whose sum is σ = 19121823339840. Its totient is φ = 7338932575200.

The previous prime is 12122121011101. The next prime is 12122121011183. The reversal of 12122121011121 is 12111012122121.

It is a happy number.

12122121011121 is a `hidden beast` number, since 121 + 221 + 210 + 1 + 112 + 1 = 666.

It is not a de Polignac number, because 12122121011121 - 223 = 12122112622513 is a prime.

It is a super-2 number, since 2×121221210111212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12122121011094 and 12122121011103.

It is not an unprimeable number, because it can be changed into a prime (12122121011101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64968301 + ... + 65154618.

It is an arithmetic number, because the mean of its divisors is an integer number (796742639160).

Almost surely, 212122121011121 is an apocalyptic number.

12122121011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122121011121 is a deficient number, since it is larger than the sum of its proper divisors (6999702328719).

12122121011121 is a wasteful number, since it uses less digits than its factorization.

12122121011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130123877 (or 130123874 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12122121011121 its reverse (12111012122121), we get a palindrome (24233133133242).

The spelling of 12122121011121 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 941 2823 8469 10351 31053 93159 130122919 390368757 1171106271 1431352109 4294056327 12882168981 122445666779 367337000337 1102011001011 1346902334569 4040707003707 12122121011121