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12022100121121 = 435316332362973
BaseRepresentation
bin1010111011110001110100…
…0000011101011000100001
31120120022010211100120121221
42232330131000131120201
53033432230112333441
641322513200215041
72350365563646346
oct256743500353041
946508124316557
1012022100121121
1139155a9114a12
121421b6900a481
136928aa1c852c
142d7c30b827cd
1515cac82298d1
hexaef1d01d621

12022100121121 has 16 divisors (see below), whose sum is σ = 12610685900736. Its totient is φ = 11450278397376.

The previous prime is 12022100121091. The next prime is 12022100121151. The reversal of 12022100121121 is 12112100122021.

It is an interprime number because it is at equal distance from previous prime (12022100121091) and next prime (12022100121151).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12022100121121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12022100121095 and 12022100121104.

It is not an unprimeable number, because it can be changed into a prime (12022100121151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15810010 + ... + 16552963.

It is an arithmetic number, because the mean of its divisors is an integer number (788167868796).

Almost surely, 212022100121121 is an apocalyptic number.

It is an amenable number.

12022100121121 is a deficient number, since it is larger than the sum of its proper divisors (588585779615).

12022100121121 is a wasteful number, since it uses less digits than its factorization.

12022100121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32363232.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12022100121121 its reverse (12112100122021), we get a palindrome (24134200243142).

The spelling of 12022100121121 in words is "twelve trillion, twenty-two billion, one hundred million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 43 53 163 2279 7009 8639 371477 32362973 1391607839 1715237569 5275164599 73755215467 226832077757 279583723747 12022100121121