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12212112211011 = 323159769196461
BaseRepresentation
bin1011000110110101101010…
…0111000011110001000011
31121020110121002121212012200
42301231122213003301003
53100040401211223021
641550100014524243
72400203345034036
oct261553247036103
947213532555180
1012212112211011
113989144a79449
121452957806683
136a779c1a110b
143030d856b01d
151629e98cd126
hexb1b5a9c3c43

12212112211011 has 48 divisors (see below), whose sum is σ = 18519963171840. Its totient is φ = 7744156056000.

The previous prime is 12212112211003. The next prime is 12212112211051. The reversal of 12212112211011 is 11011221121221.

It is a happy number.

12212112211011 is a `hidden beast` number, since 1 + 221 + 211 + 221 + 1 + 0 + 11 = 666.

12212112211011 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 12212112211011 - 23 = 12212112211003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12212112211001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126553321 + ... + 126649781.

It is an arithmetic number, because the mean of its divisors is an integer number (385832566080).

Almost surely, 212212112211011 is an apocalyptic number.

12212112211011 is a deficient number, since it is larger than the sum of its proper divisors (6307850960829).

12212112211011 is a wasteful number, since it uses less digits than its factorization.

12212112211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104248 (or 104245 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12212112211011 its reverse (11011221121221), we get a palindrome (23223333332232).

The spelling of 12212112211011 in words is "twelve trillion, two hundred twelve billion, one hundred twelve million, two hundred eleven thousand, eleven".

Divisors: 1 3 9 31 59 93 177 279 531 1829 5487 7691 16461 23073 69219 96461 238421 289383 453769 715263 868149 1361307 2145789 2990291 4083921 5691199 8970873 14066839 17073597 26912619 42200517 51220791 126601551 176427169 529281507 741881551 1587844521 2225644653 6676933959 22998328081 43771011509 68994984243 131313034527 206984952729 393939103581 1356901356779 4070704070337 12212112211011