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12212011101 = 359791018647
BaseRepresentation
bin10110101111110010…
…01000000001011101
31011112002001102220110
423113321020001131
5200002233323401
65335441440233
7611424244623
oct132771100135
934462042813
1012212011101
1151a73a8764
122449940079
1311c8065b94
1483bc49513
154b719d9d6
hex2d7e4805d

12212011101 has 32 divisors (see below), whose sum is σ = 16936243200. Its totient is φ = 7822900800.

The previous prime is 12212011087. The next prime is 12212011139. The reversal of 12212011101 is 10111021221.

12212011101 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 12212011101 - 27 = 12212010973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212011501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1407960 + ... + 1416606.

It is an arithmetic number, because the mean of its divisors is an integer number (529257600).

Almost surely, 212212011101 is an apocalyptic number.

It is an amenable number.

12212011101 is a deficient number, since it is larger than the sum of its proper divisors (4724232099).

12212011101 is a wasteful number, since it uses less digits than its factorization.

12212011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8889.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12212011101 its reverse (10111021221), we get a palindrome (22323032322).

The spelling of 12212011101 in words is "twelve billion, two hundred twelve million, eleven thousand, one hundred one".

Divisors: 1 3 59 79 101 177 237 303 4661 5959 7979 8647 13983 17877 23937 25941 470761 510173 683113 873347 1412283 1530519 2049339 2620041 40303667 51527473 68994413 120911001 154582419 206983239 4070670367 12212011101