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12002122022121 = 3271147463795877
BaseRepresentation
bin1010111010100111011000…
…1110000011110011101001
31120111101120112000222220100
42232221312032003303221
53033120321214201441
641305410532220013
72346060525626640
oct256516616036351
946441515028810
1012002122022121
113908086a944a0
12141a11246a609
13690a4521b38a
142d6c9775c357
1515c309387cb6
hexaea76383ce9

12002122022121 has 96 divisors (see below), whose sum is σ = 22121791930368. Its totient is φ = 6089024430720.

The previous prime is 12002122022119. The next prime is 12002122022203. The reversal of 12002122022121 is 12122022120021.

It is a happy number.

12002122022121 is a `hidden beast` number, since 1 + 200 + 2 + 1 + 220 + 221 + 21 = 666.

It is not a de Polignac number, because 12002122022121 - 21 = 12002122022119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12002122022094 and 12002122022103.

It is not an unprimeable number, because it can be changed into a prime (12002122022021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14682435 + ... + 15478311.

It is an arithmetic number, because the mean of its divisors is an integer number (230435332608).

Almost surely, 212002122022121 is an apocalyptic number.

12002122022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12002122022121 is a deficient number, since it is larger than the sum of its proper divisors (10119669908247).

12002122022121 is a wasteful number, since it uses less digits than its factorization.

12002122022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796411 (or 796408 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12002122022121 its reverse (12122022120021), we get a palindrome (24124144142142).

The spelling of 12002122022121 in words is "twelve trillion, two billion, one hundred twenty-two million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 47 63 77 99 141 231 329 423 463 517 693 987 1389 1551 2961 3241 3619 4167 4653 5093 9723 10857 15279 21761 29169 32571 35651 45837 65283 106953 152327 195849 239371 320859 456981 718113 795877 1370943 1675597 2154339 2387631 5026791 5571139 7162893 8754647 15080373 16713417 26263941 37406219 50140251 61282529 78791823 112218657 183847587 261843533 336655971 368491051 411468409 551542761 785530599 1105473153 1234405227 2356591797 2579437357 2880278863 3316419459 3703215681 4053401561 7738312071 8640836589 12160204683 17319079397 23214936213 25922509767 28373810927 36480614049 51957238191 85121432781 121233555779 155871714573 190509873367 255364298343 363700667337 571529620101 1091102002011 1333569113569 1714588860303 4000707340707 12002122022121