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12122112112121 = 1110710299160673
BaseRepresentation
bin1011000001100110011000…
…1011111011010111111001
31120220212021211120010102202
42300121212023323113321
53042102041200041441
641440453232235545
72360536144566134
oct260314613732771
946825254503382
1012122112112121
113953a602a0030
12143941a99bbb5
1369c158345b2b
142dc9db64521b
151604cd53219b
hexb06662fb5f9

12122112112121 has 8 divisors (see below), whose sum is σ = 13347712233504. Its totient is φ = 10917110312320.

The previous prime is 12122112112079. The next prime is 12122112112163. The reversal of 12122112112121 is 12121121122121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12122112112079) and next prime (12122112112163).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12122112112121 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12122112112093 and 12122112112102.

It is not an unprimeable number, because it can be changed into a prime (12122112112421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5149579160 + ... + 5149581513.

It is an arithmetic number, because the mean of its divisors is an integer number (1668464029188).

Almost surely, 212122112112121 is an apocalyptic number.

12122112112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122112112121 is a deficient number, since it is larger than the sum of its proper divisors (1225600121383).

12122112112121 is a wasteful number, since it uses less digits than its factorization.

12122112112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10299160791.

The product of its digits is 64, while the sum is 20.

Adding to 12122112112121 its reverse (12121121122121), we get a palindrome (24243233234242).

The spelling of 12122112112121 in words is "twelve trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 11 107 1177 10299160673 113290767403 1102010192011 12122112112121