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12221010222201 = 3211237303303557
BaseRepresentation
bin1011000111010110110011…
…1110010001110001111001
31121021022120012210122212200
42301311230332101301321
53100212112104102301
641554130554100413
72400640011630444
oct261655476216171
947238505718780
1012221010222201
1139919a073aa00
12145461b71a709
136a85897925b1
143037001d465b
15162d6ab60c86
hexb1d6cf91c79

12221010222201 has 36 divisors (see below), whose sum is σ = 19927650367716. Its totient is φ = 7206492490560.

The previous prime is 12221010222191. The next prime is 12221010222227. The reversal of 12221010222201 is 10222201012221.

It is a happy number.

12221010222201 is a `hidden beast` number, since 1 + 22 + 210 + 10 + 222 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11321071502400 + 899938719801 = 3364680^2 + 948651^2 .

It is not a de Polignac number, because 12221010222201 - 213 = 12221010214009 is a prime.

It is a super-2 number, since 2×122210102222012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12221010224201) 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, 151611486 + ... + 151692071.

Almost surely, 212221010222201 is an apocalyptic number.

12221010222201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221010222201 is a deficient number, since it is larger than the sum of its proper divisors (7706640145515).

12221010222201 is a wasteful number, since it uses less digits than its factorization.

12221010222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303303622 (or 303303608 counting only the distinct ones).

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

Adding to 12221010222201 its reverse (10222201012221), we get a palindrome (22443211234422).

The spelling of 12221010222201 in words is "twelve trillion, two hundred twenty-one billion, ten million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 11 33 37 99 111 121 333 363 407 1089 1221 3663 4477 13431 40293 303303557 909910671 2729732013 3336339127 10009017381 11222231609 30027052143 33666694827 36699730397 101000084481 110099191191 123444547699 330297573573 370333643097 1111000929291 1357890024689 4073670074067 12221010222201