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12010201222221 = 3237121572966741
BaseRepresentation
bin1010111011000101011111…
…0001110000110001001101
31120112011102120110212220200
42232301113301300301031
53033233343003102341
641313224341404113
72346464660662116
oct256612761606115
946464376425820
1012010201222221
113910552537074
12141b7a8109639
13691731ca1757
142d742276120d
1515c62d7c9db6
hexaec57c70c4d

12010201222221 has 24 divisors (see below), whose sum is σ = 17818406722584. Its totient is φ = 7789757351040.

The previous prime is 12010201222211. The next prime is 12010201222273. The reversal of 12010201222221 is 12222210201021.

It is a happy number.

12010201222221 is a `hidden beast` number, since 1 + 20 + 1 + 0 + 201 + 222 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4852596585321 + 7157604636900 = 2202861^2 + 2675370^2 .

It is not a de Polignac number, because 12010201222221 - 25 = 12010201222189 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12010201222194 and 12010201222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010201222211) 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, 2564911 + ... + 5531651.

It is an arithmetic number, because the mean of its divisors is an integer number (742433613441).

Almost surely, 212010201222221 is an apocalyptic number.

It is an amenable number.

12010201222221 is a deficient number, since it is larger than the sum of its proper divisors (5808205500363).

12010201222221 is a wasteful number, since it uses less digits than its factorization.

12010201222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978941 (or 2978938 counting only the distinct ones).

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

Adding to 12010201222221 its reverse (12222210201021), we get a palindrome (24232411423242).

The spelling of 12010201222221 in words is "twelve trillion, ten billion, two hundred one million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 12157 36471 109413 449809 1349427 2966741 4048281 8900223 26700669 109769417 329308251 987924753 36066670337 108200011011 324600033033 1334466802469 4003400407407 12010201222221