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12220031331201 = 3318315383102913
BaseRepresentation
bin1011000111010011001010…
…1000000110101110000001
31121021020000222211211212110
42301310302220012232001
53100203111010044301
641553445505045533
72400603524325021
oct261646250065601
947236028754773
1012220031331201
113991539124681
1214543a79268a9
136a8461a36555
1430364a1bda81
15162d0ec4e0d6
hexb1d32a06b81

12220031331201 has 32 divisors (see below), whose sum is σ = 17022877949952. Its totient is φ = 7788322529280.

The previous prime is 12220031331121. The next prime is 12220031331239. The reversal of 12220031331201 is 10213313002221.

It is not a de Polignac number, because 12220031331201 - 27 = 12220031331073 is a prime.

It is a super-2 number, since 2×122200313312012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12220031331241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118689921 + ... + 118792833.

It is an arithmetic number, because the mean of its divisors is an integer number (531964935936).

Almost surely, 212220031331201 is an apocalyptic number.

It is an amenable number.

12220031331201 is a deficient number, since it is larger than the sum of its proper divisors (4802846618751).

12220031331201 is a wasteful number, since it uses less digits than its factorization.

12220031331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118413.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12220031331201 its reverse (10213313002221), we get a palindrome (22433344333422).

The spelling of 12220031331201 in words is "twelve trillion, two hundred twenty billion, thirty-one million, three hundred thirty-one thousand, two hundred one".

Divisors: 1 3 31 83 93 249 2573 7719 15383 46149 102913 308739 476873 1276789 1430619 3190303 3830367 8541779 9570909 25625337 39580459 118741377 264795149 794385447 1583110679 4749332037 49076431049 131398186357 147229293147 394194559071 4073343777067 12220031331201