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12001021211221 = 723118774209167
BaseRepresentation
bin1010111010100011010010…
…0110110011001001010101
31120111021201210200000020021
42232220310212303021111
53033111042412224341
641305105410105141
72346021331115500
oct256506446631125
946437653600207
1012001021211221
113907671675a19
121419a6587b1b1
136908cb145593
142d6bd148c137
1515c2928e19d1
hexaea349b3255

12001021211221 has 24 divisors (see below), whose sum is σ = 14418387127296. Its totient is φ = 9949458224160.

The previous prime is 12001021211219. The next prime is 12001021211237. The reversal of 12001021211221 is 12211212010021.

12001021211221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12001021211221 - 21 = 12001021211219 is a prime.

It is a super-2 number, since 2×120010212112212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12001021211195 and 12001021211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001021212221) 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, 746580 + ... + 4955746.

It is an arithmetic number, because the mean of its divisors is an integer number (600766130304).

Almost surely, 212001021211221 is an apocalyptic number.

It is an amenable number.

12001021211221 is a deficient number, since it is larger than the sum of its proper divisors (2417365916075).

12001021211221 is a wasteful number, since it uses less digits than its factorization.

12001021211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211089 (or 4211082 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12001021211221 its reverse (12211212010021), we get a palindrome (24212233221242).

The spelling of 12001021211221 in words is "twelve trillion, one billion, twenty-one million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 7 31 49 217 1519 1877 13139 58187 91973 407309 2851163 4209167 29464169 130484177 206249183 913389239 6393724673 7900606459 55304245213 244918800229 387129716491 1714431601603 12001021211221