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12222100122221 = 1117412715882353
BaseRepresentation
bin1011000111011010110111…
…1011111010101001101101
31121021102101011122022122002
42301312231323322221231
53100221330112402341
641554431050302045
72401006014626513
oct261665573725155
947242334568562
1012222100122221
1139923aa986a20
121454884727925
136a8701518052
143037a4c644b3
15162dd169e29b
hexb1dadefaa6d

12222100122221 has 32 divisors (see below), whose sum is σ = 14515202612736. Its totient is φ = 10164704256000.

The previous prime is 12222100122163. The next prime is 12222100122263.

12222100122221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12222100122221 - 234 = 12204920253037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12222100122193 and 12222100122202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222100121221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863420 + ... + 5018933.

It is an arithmetic number, because the mean of its divisors is an integer number (453600081648).

Almost surely, 212222100122221 is an apocalyptic number.

12222100122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12222100122221 is a deficient number, since it is larger than the sum of its proper divisors (2293102490515).

12222100122221 is a wasteful number, since it uses less digits than its factorization.

12222100122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882693.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 12222100 and 122221, that multiplied together give a square (1493797284100 = 12222102).

The spelling of 12222100122221 in words is "twelve trillion, two hundred twenty-two billion, one hundred million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 11 17 41 187 271 451 697 2981 4607 7667 11111 50677 122221 188887 2077757 5882353 64705883 100000001 241176473 1100000011 1594117663 2652941203 4100000041 17535294293 27100000271 45100000451 65358824183 298100002981 718947066013 1111100011111 12222100122221