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12202211122011 = 3229223432092457
BaseRepresentation
bin1011000110010000110001…
…1101011001101101011011
31121012112001001222102110200
42301210030131121231123
53044410112021401021
641541341324113243
72366403111130251
oct261441435315533
947175031872420
1012202211122011
113984a24081769
121450a53995823
136a6881b35881
143028395d45d1
1516261a55c126
hexb190c759b5b

12202211122011 has 24 divisors (see below), whose sum is σ = 18234013805280. Its totient is φ = 7853941527936.

The previous prime is 12202211122001. The next prime is 12202211122021. The reversal of 12202211122011 is 11022111220221.

12202211122011 is a `hidden beast` number, since 1 + 220 + 2 + 211 + 1 + 220 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (12202211122001) and next prime (12202211122021).

It is not a de Polignac number, because 12202211122011 - 211 = 12202211119963 is a prime.

It is a super-2 number, since 2×122022111220112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12202211122001) 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, 4785295 + ... + 6877751.

It is an arithmetic number, because the mean of its divisors is an integer number (759750575220).

Almost surely, 212202211122011 is an apocalyptic number.

12202211122011 is a deficient number, since it is larger than the sum of its proper divisors (6031802683269).

12202211122011 is a wasteful number, since it uses less digits than its factorization.

12202211122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114835 (or 2114832 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12202211122011 its reverse (11022111220221), we get a palindrome (23224322342232).

The spelling of 12202211122011 in words is "twelve trillion, two hundred two billion, two hundred eleven million, one hundred twenty-two thousand, eleven".

Divisors: 1 3 9 29 87 261 22343 67029 201087 647947 1943841 2092457 5831523 6277371 18832113 60681253 182043759 546131277 46751766751 140255300253 420765900759 1355801235779 4067403707337 12202211122011