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12122102091 = 31123109114639
BaseRepresentation
bin10110100101000100…
…01001100101001011
31011021210212120221010
423102202021211023
5144311224231331
65322510415003
7606253111341
oct132242114513
934253776833
1012122102091
1151606797a0
122423801463
1311b2546498
1482dd23991
154ae33de46
hex2d288994b

12122102091 has 32 divisors (see below), whose sum is σ = 18416885760. Its totient is φ = 7020384800.

The previous prime is 12122102077. The next prime is 12122102147. The reversal of 12122102091 is 19020122121.

It is a de Polignac number, because none of the positive numbers 2k-12122102091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12122102791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 820750 + ... + 835388.

It is an arithmetic number, because the mean of its divisors is an integer number (575527680).

Almost surely, 212122102091 is an apocalyptic number.

12122102091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12122102091 is a deficient number, since it is larger than the sum of its proper divisors (6294783669).

12122102091 is a wasteful number, since it uses less digits than its factorization.

12122102091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15767.

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 12122102091 in words is "twelve billion, one hundred twenty-two million, one hundred two thousand, ninety-one".

Divisors: 1 3 11 23 33 69 253 759 1091 3273 12001 14639 25093 36003 43917 75279 161029 276023 336697 483087 828069 1010091 3703667 11111001 15971149 47913447 175682639 367336427 527047917 1102009281 4040700697 12122102091