Search a number
-
+
12202221121101 = 3211263468649273
BaseRepresentation
bin1011000110010000110100…
…0011100010111001001101
31121012112001202210102122100
42301210031003202321031
53044410122101333401
641541342322305313
72366403262124154
oct261441503427115
947175052712570
1012202221121101
113984a29791180
121450a571b8239
136a6883c26bab
1430283aa7859b
1516261b384b86
hexb190d0e2e4d

12202221121101 has 24 divisors (see below), whose sum is σ = 19300851700416. Its totient is φ = 7367166555840.

The previous prime is 12202221121043. The next prime is 12202221121193. The reversal of 12202221121101 is 10112112220221.

12202221121101 is a `hidden beast` number, since 1 + 220 + 2 + 221 + 121 + 101 = 666.

It is not a de Polignac number, because 12202221121101 - 221 = 12202219023949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202221120101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234298600 + ... + 234350673.

It is an arithmetic number, because the mean of its divisors is an integer number (804202154184).

Almost surely, 212202221121101 is an apocalyptic number.

12202221121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12202221121101 is a deficient number, since it is larger than the sum of its proper divisors (7098630579315).

12202221121101 is a wasteful number, since it uses less digits than its factorization.

12202221121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468649553 (or 468649550 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12202221121101 its reverse (10112112220221), we get a palindrome (22314333341322).

The spelling of 12202221121101 in words is "twelve trillion, two hundred two billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred one".

Divisors: 1 3 9 11 33 99 263 789 2367 2893 8679 26037 468649273 1405947819 4217843457 5155142003 15465426009 46396278027 123254758799 369764276397 1109292829191 1355802346789 4067407040367 12202221121101