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12100012220112 = 243252083587919
BaseRepresentation
bin1011000000010100000011…
…1011100001111011010000
31120211202020122201021212220
42300011000323201323100
53041221311112020422
641422400251021040
72356124403605115
oct260050073417320
946752218637786
1012100012220112
11394564a4a7073
12143509173a780
1369a0458ba55b
142db90250090c
1515eb38270e5c
hexb0140ee1ed0

12100012220112 has 20 divisors (see below), whose sum is σ = 31258364902080. Its totient is φ = 4033337406688.

The previous prime is 12100012220081. The next prime is 12100012220141. The reversal of 12100012220112 is 21102221000121.

It is a super-3 number, since 3×121000122201123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12100012220091 and 12100012220100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126041793912 + ... + 126041794007.

It is an arithmetic number, because the mean of its divisors is an integer number (1562918245104).

Almost surely, 212100012220112 is an apocalyptic number.

12100012220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12100012220112 is an abundant number, since it is smaller than the sum of its proper divisors (19158352681968).

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

12100012220112 is a wasteful number, since it uses less digits than its factorization.

12100012220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252083587930 (or 252083587924 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12100012220112 its reverse (21102221000121), we get a palindrome (33202233220233).

The spelling of 12100012220112 in words is "twelve trillion, one hundred billion, twelve million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 252083587919 504167175838 756250763757 1008334351676 1512501527514 2016668703352 3025003055028 4033337406704 6050006110056 12100012220112