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12102011011122 = 2310788327317817
BaseRepresentation
bin1011000000011011100000…
…0100010100000000110010
31120211221101221210101200120
42300012320010110000302
53041234404304323442
641423330452031110
72356225054213134
oct260067004240062
946757357711616
1012102011011122
11394648579836a
12143554b002496
1369a2a3a30526
142dba51b63054
1515ec039954ec
hexb01b8114032

12102011011122 has 64 divisors (see below), whose sum is σ = 24469980747264. Its totient is φ = 3989804757120.

The previous prime is 12102011011117. The next prime is 12102011011157. The reversal of 12102011011122 is 22111011020121.

It is a happy number.

It is a super-3 number, since 3×121020110111223 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1548161758 + ... + 1548169574.

It is an arithmetic number, because the mean of its divisors is an integer number (382343449176).

Almost surely, 212102011011122 is an apocalyptic number.

12102011011122 is an abundant number, since it is smaller than the sum of its proper divisors (12367969736142).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12102011011122 is a wasteful number, since it uses less digits than its factorization.

12102011011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11543.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12102011011122 its reverse (22111011020121), we get a palindrome (34213022031243).

The spelling of 12102011011122 in words is "twelve trillion, one hundred two billion, eleven million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 107 214 321 642 883 1766 2649 2731 5298 5462 7817 8193 15634 16386 23451 46902 94481 188962 283443 292217 566886 584434 836419 876651 1672838 1753302 2411473 2509257 4822946 5018514 6902411 7234419 13804822 14468838 20707233 21348227 41414466 42696454 64044681 128089362 258027611 516055222 738557977 774082833 1477115954 1548165666 2215673931 2284260289 4431347862 4568520578 6852780867 13705561734 18850484441 37700968882 56551453323 113102906646 2017001835187 4034003670374 6051005505561 12102011011122