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12221021100222 = 23211213674104697
BaseRepresentation
bin1011000111010110110110…
…0111110001100010111110
31121021022120222021022201100
42301311231213301202332
53100212122400201342
641554132023153530
72400640203245004
oct261655547614276
947238528238640
1012221021100222
1139919a689a800
1214546232a58a6
136a858bb009ac
14303701826a74
15162d6baade4c
hexb1d6d9f18be

12221021100222 has 72 divisors (see below), whose sum is σ = 29126181743568. Its totient is φ = 3700629725760.

The previous prime is 12221021100203. The next prime is 12221021100229. The reversal of 12221021100222 is 22200112012221.

It is a happy number.

12221021100222 is a `hidden beast` number, since 1 + 22 + 210 + 211 + 0 + 0 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12221021100195 and 12221021100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221021100229) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 924978 + ... + 5029674.

It is an arithmetic number, because the mean of its divisors is an integer number (404530301994).

Almost surely, 212221021100222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221021100222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14563090871784).

12221021100222 is an abundant number, since it is smaller than the sum of its proper divisors (16905160643346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12221021100222 is a wasteful number, since it uses less digits than its factorization.

12221021100222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106094 (or 4106080 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12221021100222 its reverse (22200112012221), we get a palindrome (34421133112443).

The spelling of 12221021100222 in words is "twelve trillion, two hundred twenty-one billion, twenty-one million, one hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1367 2178 2734 4101 8202 12303 15037 24606 30074 45111 90222 135333 165407 270666 330814 496221 992442 1488663 2977326 4104697 8209394 12314091 24628182 36942273 45151667 73884546 90303334 135455001 270910002 406365003 496668337 812730006 993336674 1490005011 2980010022 4470015033 5611120799 8940030066 11222241598 16833362397 33666724794 50500087191 61722328789 101000174382 123444657578 185166986367 370333972734 555500959101 678945616679 1111001918202 1357891233358 2036836850037 4073673700074 6110510550111 12221021100222