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1001212212112 = 247223463911969
BaseRepresentation
bin11101001000111001110…
…01011111001110010000
310112201022012102011212221
432210130321133032100
5112400440311241422
62043541152230424
7132222654246100
oct16443471371620
93481265364787
101001212212112
11356680212892
1214205bb3b414
137354c477708
143665d435200
151b09cdb53c7
hexe91ce5f390

1001212212112 has 120 divisors (see below), whose sum is σ = 2355374246400. Its totient is φ = 410312060928.

The previous prime is 1001212212097. The next prime is 1001212212167. The reversal of 1001212212112 is 2112122121001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83644464 + ... + 83656432.

It is an arithmetic number, because the mean of its divisors is an integer number (19628118720).

Almost surely, 21001212212112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001212212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177687123200).

1001212212112 is an abundant number, since it is smaller than the sum of its proper divisors (1354162034288).

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

1001212212112 is a wasteful number, since it uses less digits than its factorization.

1001212212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16653 (or 16640 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1001212212112 its reverse (2112122121001), we get a palindrome (3113334333113).

The spelling of 1001212212112 in words is "one trillion, one billion, two hundred twelve million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 368 392 644 784 1127 1288 2254 2576 4508 4639 9016 9278 11969 18032 18556 23938 32473 37112 47876 64946 74224 83783 95752 106697 129892 167566 191504 213394 227311 259784 275287 335132 426788 454622 519568 550574 586481 670264 746879 853576 909244 1101148 1172962 1340528 1493758 1707152 1818488 1927009 2202296 2345924 2987516 3636976 3854018 4404592 4691848 5228153 5975032 7708036 9383696 10456306 11950064 13489063 15416072 20912612 26978126 30832144 41825224 53956252 55524191 83650448 107912504 111048382 215825008 222096764 388669337 444193528 777338674 888387056 1277056393 1554677348 2554112786 2720685359 3109354696 5108225572 5441370718 6218709392 8939394751 10216451144 10882741436 17878789502 20432902288 21765482872 35757579004 43530965744 62575763257 71515158008 125151526514 143030316016 250303053028 500606106056 1001212212112