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1000122212112 = 243179116401561
BaseRepresentation
bin11101000110110111110…
…11011101111100010000
310112121111020101102222120
432203123323131330100
5112341222241241422
62043241053534240
7132153650352402
oct16433373357420
93477436342876
101000122212112
11356170a08741
121419b6aa4380
13734076b85ba
143659877ab72
151b03735745c
hexe8dbeddf10

1000122212112 has 40 divisors (see below), whose sum is σ = 2598082863840. Its totient is φ = 331511642880.

The previous prime is 1000122212081. The next prime is 1000122212149. The reversal of 1000122212112 is 2112122210001.

It is a junction number, because it is equal to n+sod(n) for n = 1000122212091 and 1000122212100.

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, 58192189 + ... + 58209372.

It is an arithmetic number, because the mean of its divisors is an integer number (64952071596).

Almost surely, 21000122212112 is an apocalyptic number.

1000122212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000122212112 is an abundant number, since it is smaller than the sum of its proper divisors (1597960651728).

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

1000122212112 is a wasteful number, since it uses less digits than its factorization.

1000122212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116401751 (or 116401745 counting only the distinct ones).

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

Adding to 1000122212112 its reverse (2112122210001), we get a palindrome (3112244422113).

The spelling of 1000122212112 in words is "one trillion, one hundred twenty-two million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 179 358 537 716 1074 1432 2148 2864 4296 8592 116401561 232803122 349204683 465606244 698409366 931212488 1396818732 1862424976 2793637464 5587274928 20835879419 41671758838 62507638257 83343517676 125015276514 166687035352 250030553028 333374070704 500061106056 1000122212112