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12200011000221 = 31137101113875477
BaseRepresentation
bin1011000110001000100101…
…0100100110100110011101
31121012022100202001122202110
42301202021110212212131
53044341110304001341
641540335131544233
72366264434323102
oct261421124464635
947168322048673
1012200011000221
113983aa51796a0
12145053abbb079
136a65c1090965
143026ab324aa9
1516253c319216
hexb188952699d

12200011000221 has 64 divisors (see below), whose sum is σ = 18568426127616. Its totient is φ = 7059838464000.

The previous prime is 12200011000213. The next prime is 12200011000231.

12200011000221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12200011000221 - 23 = 12200011000213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12200011000197 and 12200011000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200011000231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13497535 + ... + 14373011.

It is an arithmetic number, because the mean of its divisors is an integer number (290131658244).

Almost surely, 212200011000221 is an apocalyptic number.

12200011000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12200011000221 is a deficient number, since it is larger than the sum of its proper divisors (6368415127395).

12200011000221 is a wasteful number, since it uses less digits than its factorization.

12200011000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875742.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 1220001 and 1000221, that added together give a palindrome (2220222).

The spelling of 12200011000221 in words is "twelve trillion, two hundred billion, eleven million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 11 33 37 101 111 113 303 339 407 1111 1221 1243 3333 3729 3737 4181 11211 11413 12543 34239 41107 45991 123321 125543 137973 376629 422281 875477 1266843 2626431 4645091 9630247 13935273 28890741 32392649 88423177 97177947 98928901 265269531 296786703 356319139 972654947 1068957417 1088217911 2917964841 3264653733 3271657549 3660369337 9814972647 9991819001 10981108011 29975457003 35988233039 40264062707 107964699117 109910009011 120792188121 329730027033 369697303037 1109091909111 4066670333407 12200011000221