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12220011220101 = 359239937308291
BaseRepresentation
bin1011000111010011000101…
…1011011000110010000101
31121021012222121000002121220
42301310301123120302011
53100203040333020401
641553443510030553
72400603161354046
oct261646133306205
947235877002556
1012220011220101
113991528838933
1214543a1048459
136a845a8146a9
143036476668cd
15162d0d0ca336
hexb1d316d8c85

12220011220101 has 32 divisors (see below), whose sum is σ = 16656646809600. Its totient is φ = 7966549019520.

The previous prime is 12220011220097. The next prime is 12220011220141. The reversal of 12220011220101 is 10102211002221.

It is not a de Polignac number, because 12220011220101 - 22 = 12220011220097 is a prime.

It is a super-3 number, since 3×122200112201013 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220011220141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39483766 + ... + 39792056.

It is an arithmetic number, because the mean of its divisors is an integer number (520520212800).

Almost surely, 212220011220101 is an apocalyptic number.

It is an amenable number.

12220011220101 is a deficient number, since it is larger than the sum of its proper divisors (4436635589499).

12220011220101 is a wasteful number, since it uses less digits than its factorization.

12220011220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309529.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12220011220101 its reverse (10102211002221), we get a palindrome (22322222222322).

The spelling of 12220011220101 in words is "twelve trillion, two hundred twenty billion, eleven million, two hundred twenty thousand, one hundred one".

Divisors: 1 3 59 177 239 717 937 2811 14101 42303 55283 165849 223943 308291 671829 924873 13212637 18189169 39637911 54567507 73681549 221044647 288868667 866606001 4347211391 13041634173 17043251353 51129754059 69039611413 207118834239 4073337073367 12220011220101