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12221112201001 = 112971012103991
BaseRepresentation
bin1011000111010111001100…
…0011010010111100101001
31121021022211022200201111021
42301311303003102330221
53100212314210413001
641554145035532441
72400642360503644
oct261656303227451
947238738621437
1012221112201001
113991a43263100
1214546498ba121
136a85a4949992
1430370d97ca5b
15162d74aa6ba1
hexb1d730d2f29

12221112201001 has 72 divisors (see below), whose sum is σ = 13854358708736. Its totient is φ = 10770122880000.

The previous prime is 12221112200933. The next prime is 12221112201007. The reversal of 12221112201001 is 10010221112221.

It is a de Polignac number, because none of the positive numbers 2k-12221112201001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12221112201007) 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 71 ways as a sum of consecutive naturals, for example, 12332100616 + ... + 12332101606.

Almost surely, 212221112201001 is an apocalyptic number.

12221112201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221112201001 is a deficient number, since it is larger than the sum of its proper divisors (1633246507735).

12221112201001 is a wasteful number, since it uses less digits than its factorization.

12221112201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12221112201001 its reverse (10010221112221), we get a palindrome (22231333313222).

It can be divided in two parts, 1222111220 and 1001, that added together give a palindrome (1222112221).

The spelling of 12221112201001 in words is "twelve trillion, two hundred twenty-one billion, one hundred twelve million, two hundred one thousand, one".

Divisors: 1 11 97 101 103 121 991 1067 1111 1133 9797 9991 10201 10403 10901 11737 12221 12463 96127 100091 102073 107767 109901 112211 114433 119911 989497 1009091 1050703 1057397 1101001 1122803 1185437 1208911 1234321 1258763 9708827 9901081 10109191 10309373 10884467 11100001 11557733 11631367 12111011 12350833 101918191 106797097 108911891 111201101 113403103 119729137 122100011 127135063 980591527 1000009181 1041246673 1121100101 1174768067 1198030801 1223212111 1247434133 10786506797 11000100991 11453713403 12332101111 101000927281 118651574767 121001110901 125990847433 1111010200091 12221112201001