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12122110100112 = 243713556957189
BaseRepresentation
bin1011000001100110011000…
…0100010000001010010000
31120220212021200202220110220
42300121212010100022100
53042102040141200422
641440453121153040
72360536121516205
oct260314604201220
946825250686426
1012122110100112
113953a5a146411
12143941a18b780
1369c157ac00ac
142dc9db27dcac
151604cd285e5c
hexb0666110290

12122110100112 has 40 divisors (see below), whose sum is σ = 31756513792320. Its totient is φ = 3983792050560.

The previous prime is 12122110100053. The next prime is 12122110100161. The reversal of 12122110100112 is 21100101122121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12122110100091 and 12122110100100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1778475187 + ... + 1778482002.

It is an arithmetic number, because the mean of its divisors is an integer number (793912844808).

Almost surely, 212122110100112 is an apocalyptic number.

12122110100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122110100112 is an abundant number, since it is smaller than the sum of its proper divisors (19634403692208).

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

12122110100112 is a wasteful number, since it uses less digits than its factorization.

12122110100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556957271 (or 3556957265 counting only the distinct ones).

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

Adding to 12122110100112 its reverse (21100101122121), we get a palindrome (33222211222233).

The spelling of 12122110100112 in words is "twelve trillion, one hundred twenty-two billion, one hundred ten million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 3556957189 7113914378 10670871567 14227828756 21341743134 28455657512 42683486268 56911315024 85366972536 170733945072 252543960419 505087920838 757631881257 1010175841676 1515263762514 2020351683352 3030527525028 4040703366704 6061055050056 12122110100112