Search a number
-
+
12212022221201 = 1121014349229769
BaseRepresentation
bin1011000110110101010100…
…1111110001100110010001
31121020110100211021220101202
42301231111033301212101
53100040210142034301
641550043042040545
72400201203113055
oct261552517614621
947213324256352
1012212022221201
1139890a91a4800
121452931649155
136a77866539ca
143030ca623c65
151629e1a5466b
hexb1b553f1991

12212022221201 has 24 divisors (see below), whose sum is σ = 13559210217000. Its totient is φ = 10989343904000.

The previous prime is 12212022221177. The next prime is 12212022221207. The reversal of 12212022221201 is 10212222021221.

It can be written as a sum of positive squares in 4 ways, for example, as 604543570576 + 11607478650625 = 777524^2 + 3406975^2 .

It is not a de Polignac number, because 12212022221201 - 214 = 12212022204817 is a prime.

It is a super-2 number, since 2×122120222212012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12212022221207) 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 23 ways as a sum of consecutive naturals, for example, 53034245 + ... + 53264013.

It is an arithmetic number, because the mean of its divisors is an integer number (564967092375).

Almost surely, 212212022221201 is an apocalyptic number.

12212022221201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12212022221201 is a deficient number, since it is larger than the sum of its proper divisors (1347187995799).

12212022221201 is a wasteful number, since it uses less digits than its factorization.

12212022221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234241 (or 234230 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12212022221201 its reverse (10212222021221), we get a palindrome (22424244242422).

The spelling of 12212022221201 in words is "twelve trillion, two hundred twelve billion, twenty-two million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 11 101 121 1111 4349 12221 47839 229769 439249 526229 2527459 4831739 23206669 27802049 53149129 255273359 999265381 2808006949 10991919191 100925803481 120911111101 1110183838291 12212022221201