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12211122112211 = 113343332067607
BaseRepresentation
bin1011000110110001111110…
…0110001000011011010011
31121020101001002120121222202
42301230133212020123103
53100031334230042321
641545413445353415
72400136663241441
oct261543746103323
947211032517882
1012211122112211
1139887870a8580
12145272010886b
136a767201c839
14303042c79b91
1516298ca0570b
hexb1b1f9886d3

12211122112211 has 8 divisors (see below), whose sum is σ = 13325208973824. Its totient is φ = 11097699392520.

The previous prime is 12211122112181. The next prime is 12211122112213. The reversal of 12211122112211 is 11221122111221.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12211122112211 is a prime.

It is a super-2 number, since 2×122111221122112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211122112213) 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 7 ways as a sum of consecutive naturals, for example, 165997031 + ... + 166070576.

It is an arithmetic number, because the mean of its divisors is an integer number (1665651121728).

Almost surely, 212211122112211 is an apocalyptic number.

12211122112211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12211122112211 is a deficient number, since it is larger than the sum of its proper divisors (1114086861613).

12211122112211 is a wasteful number, since it uses less digits than its factorization.

12211122112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332070961.

The product of its digits is 64, while the sum is 20.

Adding to 12211122112211 its reverse (11221122111221), we get a palindrome (23432244223432).

The spelling of 12211122112211 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twelve thousand, two hundred eleven".

Divisors: 1 11 3343 36773 332067607 3652743677 1110102010201 12211122112211