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12221011130301 = 341011493828521
BaseRepresentation
bin1011000111010110110100…
…0001101111011110111101
31121021022120021111210120000
42301311231001233132331
53100212112322132201
641554131025344513
72400640022432121
oct261655501573675
947238507453500
1012221011130301
1139919a12001a6
12145461ba98139
136a8589a1ca2c
1430370038d581
15162d6ac8ed86
hexb1d6d06f7bd

12221011130301 has 20 divisors (see below), whose sum is σ = 18436831618524. Its totient is φ = 8066674008000.

The previous prime is 12221011130297. The next prime is 12221011130381. The reversal of 12221011130301 is 10303111012221.

12221011130301 is a `hidden beast` number, since 1 + 2 + 221 + 0 + 11 + 130 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6686496102276 + 5534515028025 = 2585826^2 + 2352555^2 .

It is not a de Polignac number, because 12221011130301 - 22 = 12221011130297 is a prime.

It is a super-2 number, since 2×122210111303012 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221011130381) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 746906080 + ... + 746922441.

Almost surely, 212221011130301 is an apocalyptic number.

It is an amenable number.

12221011130301 is a deficient number, since it is larger than the sum of its proper divisors (6215820488223).

12221011130301 is a wasteful number, since it uses less digits than its factorization.

12221011130301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493828634 (or 1493828625 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12221011130301 its reverse (10303111012221), we get a palindrome (22524122142522).

The spelling of 12221011130301 in words is "twelve trillion, two hundred twenty-one billion, eleven million, one hundred thirty thousand, three hundred one".

Divisors: 1 3 9 27 81 101 303 909 2727 8181 1493828521 4481485563 13444456689 40333370067 121000110201 150876680621 452630041863 1357890125589 4073670376767 12221011130301