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12000112102121 = 1113312706995737
BaseRepresentation
bin1010111010011111111001…
…1010110100101011101001
31120111012101110000110222212
42232213332122310223221
53033102212144231441
641304435252454505
72345656651610603
oct256477632645351
946435343013885
1012000112102121
113907245491890
12141985131a435
136907b49ac9c0
142d6b46840173
1515c23cbb5eeb
hexae9fe6b4ae9

12000112102121 has 16 divisors (see below), whose sum is σ = 14552809087488. Its totient is φ = 9745184649600.

The previous prime is 12000112102103. The next prime is 12000112102129. The reversal of 12000112102121 is 12120121100021.

It is a cyclic number.

It is not a de Polignac number, because 12000112102121 - 234 = 11982932232937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12000112102096 and 12000112102105.

It is not an unprimeable number, because it can be changed into a prime (12000112102129) 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, 1353493436 + ... + 1353502301.

It is an arithmetic number, because the mean of its divisors is an integer number (909550567968).

Almost surely, 212000112102121 is an apocalyptic number.

12000112102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12000112102121 is a deficient number, since it is larger than the sum of its proper divisors (2552696985367).

12000112102121 is a wasteful number, since it uses less digits than its factorization.

12000112102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706995792.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12000112102121 its reverse (12120121100021), we get a palindrome (24120233202142).

The spelling of 12000112102121 in words is "twelve trillion, one hundred twelve million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 11 13 31 143 341 403 4433 2706995737 29776953107 35190944581 83916867847 387100390391 923085546317 1090919282011 12000112102121