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12122102101122 = 2331317267951711
BaseRepresentation
bin1011000001100110010110…
…0101101111010010000010
31120220212021010201111221000
42300121211211233102002
53042102031114213442
641440452233512430
72360535663522426
oct260314545572202
946825233644830
1012122102101122
113953a55682682
121439417572716
1369c15624c270
142dc9da19ab86
151604cc705d4c
hexb066596f482

12122102101122 has 32 divisors (see below), whose sum is σ = 29010158876160. Its totient is φ = 3729877569360.

The previous prime is 12122102101121. The next prime is 12122102101217. The reversal of 12122102101122 is 22110120122121.

12122102101122 is a `hidden beast` number, since 1 + 212 + 210 + 210 + 11 + 22 = 666.

It is a super-2 number, since 2×121221021011222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12122102101095 and 12122102101104.

It is not an unprimeable number, because it can be changed into a prime (12122102101121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8633975154 + ... + 8633976557.

It is an arithmetic number, because the mean of its divisors is an integer number (906567464880).

Almost surely, 212122102101122 is an apocalyptic number.

12122102101122 is an abundant number, since it is smaller than the sum of its proper divisors (16888056775038).

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

12122102101122 is a wasteful number, since it uses less digits than its factorization.

12122102101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17267951735 (or 17267951729 counting only the distinct ones).

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

Adding to 12122102101122 its reverse (22110120122121), we get a palindrome (34232222223243).

The spelling of 12122102101122 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 17267951711 34535903422 51803855133 103607710266 155411565399 224483372243 310823130798 448966744486 466234696197 673450116729 932469392394 1346900233458 2020350350187 4040700700374 6061051050561 12122102101122