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12221322123330 = 2325135792468037
BaseRepresentation
bin1011000111010111111110…
…0100000101100001000010
31121021100100221200212210100
42301311333210011201002
53100213231430421310
641554221535143230
72400650520015255
oct261657744054102
947240327625710
1012221322123330
113992040802931
1214546a8074b16
136a8609299388
1430372d7c509c
15162d88220ec0
hexb1d7f905842

12221322123330 has 24 divisors (see below), whose sum is σ = 31775437520892. Its totient is φ = 3259019232864.

The previous prime is 12221322123319. The next prime is 12221322123331. The reversal of 12221322123330 is 3332122312221.

12221322123330 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 1 + 322 + 1 + 2 + 3 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11326260433401 + 895061689929 = 3365451^2 + 946077^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12221322123294 and 12221322123303.

It is not an unprimeable number, because it can be changed into a prime (12221322123331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67896233929 + ... + 67896234108.

Almost surely, 212221322123330 is an apocalyptic number.

12221322123330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12221322123330 is an abundant number, since it is smaller than the sum of its proper divisors (19554115397562).

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

12221322123330 is a wasteful number, since it uses less digits than its factorization.

12221322123330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135792468050 (or 135792468047 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12221322123330 its reverse (3332122312221), we get a palindrome (15553444435551).

The spelling of 12221322123330 in words is "twelve trillion, two hundred twenty-one billion, three hundred twenty-two million, one hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 135792468037 271584936074 407377404111 678962340185 814754808222 1222132212333 1357924680370 2036887020555 2444264424666 4073774041110 6110661061665 12221322123330