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12022100122021 = 1127734913113011
BaseRepresentation
bin1010111011110001110100…
…0000011101100110100101
31120120022010211100121212021
42232330131000131212211
53033432230112401041
641322513200223141
72350365563652103
oct256743500354645
946508124317767
1012022100122021
1139155a9115660
121421b6900aab1
136928aa1c8a72
142d7c30b82c73
1515cac8229cd1
hexaef1d01d9a5

12022100122021 has 16 divisors (see below), whose sum is σ = 13162858429248. Its totient is φ = 10889318131200.

The previous prime is 12022100122013. The next prime is 12022100122069.

It is a happy number.

12022100122021 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12022100122021 - 23 = 12022100122013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12022100121986 and 12022100122004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022100123021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106323406 + ... + 106436416.

It is an arithmetic number, because the mean of its divisors is an integer number (822678651828).

Almost surely, 212022100122021 is an apocalyptic number.

12022100122021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12022100122021 is a deficient number, since it is larger than the sum of its proper divisors (1140758307227).

12022100122021 is a wasteful number, since it uses less digits than its factorization.

12022100122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148212.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 12022100 and 122021, that added together give a palindrome (12144121).

The spelling of 12022100122021 in words is "twelve trillion, twenty-two billion, one hundred million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 11 277 3047 34913 113011 384043 1243121 9670901 31304047 106379911 344344517 3945553043 43401083473 1092918192911 12022100122021