Search a number
-
+
12212112102111 = 326121013610499
BaseRepresentation
bin1011000110110101101010…
…0110101001001011011111
31121020110121002102022211100
42301231122212221023133
53100040401144231421
641550100012324143
72400203344101405
oct261553246511337
947213532368740
1012212112102111
113989144a04649
121452957773653
136a779c16368c
143030d853d475
151629e98aac26
hexb1b5a9a92df

12212112102111 has 36 divisors (see below), whose sum is σ = 18111199509000. Its totient is φ = 7928653608000.

The previous prime is 12212112102107. The next prime is 12212112102121. The reversal of 12212112102111 is 11120121121221.

It is a happy number.

12212112102111 is a `hidden beast` number, since 1 + 221 + 21 + 1 + 210 + 211 + 1 = 666.

It is not a de Polignac number, because 12212112102111 - 22 = 12212112102107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212112102121) 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, 1577140 + ... + 5187638.

It is an arithmetic number, because the mean of its divisors is an integer number (503088875250).

Almost surely, 212212112102111 is an apocalyptic number.

12212112102111 is a deficient number, since it is larger than the sum of its proper divisors (5899087406889).

12212112102111 is a wasteful number, since it uses less digits than its factorization.

12212112102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610728 (or 3610664 counting only the distinct ones).

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

Adding to 12212112102111 its reverse (11120121121221), we get a palindrome (23332233223332).

The spelling of 12212112102111 in words is "twelve trillion, two hundred twelve billion, one hundred twelve million, one hundred two thousand, one hundred eleven".

Divisors: 1 3 9 61 101 183 303 549 909 3721 6161 11163 18483 33489 55449 375821 1127463 3382389 3610499 10831497 32494491 220240439 364660399 660721317 1093981197 1982163951 3281943591 13434666779 22244284339 40304000337 66732853017 120912001011 200198559051 1356901344679 4070704034037 12212112102111