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12202011022201 = 7111359764927011
BaseRepresentation
bin1011000110010000000010…
…0010000101001101111001
31121012111112010110022010121
42301210000202011031321
53044404204310202301
641541305415213241
72366365131246010
oct261440042051571
947174463408117
1012202011022201
113984931130820
1214509b8977221
136a684c545010
1430281abc7a77
15162607bd33a1
hexb1900885379

12202011022201 has 64 divisors (see below), whose sum is σ = 16663594752000. Its totient is φ = 8626466764800.

The previous prime is 12202011022163. The next prime is 12202011022231. The reversal of 12202011022201 is 10222011020221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12202011022201 - 213 = 12202011014009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12202011022231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451728786 + ... + 451755796.

It is an arithmetic number, because the mean of its divisors is an integer number (260368668000).

Almost surely, 212202011022201 is an apocalyptic number.

12202011022201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12202011022201 is a deficient number, since it is larger than the sum of its proper divisors (4461583729799).

12202011022201 is a wasteful number, since it uses less digits than its factorization.

12202011022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34750.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12202011022201 its reverse (10222011020221), we get a palindrome (22424022042422).

The spelling of 12202011022201 in words is "twelve trillion, two hundred two billion, eleven million, twenty-two thousand, two hundred one".

Divisors: 1 7 11 13 59 77 91 143 413 649 767 1001 4543 5369 7649 8437 27011 53543 59059 84139 99437 189077 297121 351143 451291 588973 696059 1093807 1593649 2079847 2458001 3159037 3862573 4964201 5866783 7656649 11155543 17530139 20717437 27038011 34749407 41067481 64534613 122710973 145022059 206607139 227891807 451742291 1446249973 1595242649 2272678529 2685892807 12189821201 15908749703 18801249649 29544820877 85328748407 134088033211 158467675613 206813746139 938616232477 1109273729291 1743144431743 12202011022201