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212000020010112 = 2736715715245099
BaseRepresentation
bin110000001101000000011001…
…111000101001010010000000
31000210122000002220100210002010
4300031000121320221102000
5210241402020110310422
62030515244212252520
762440332061400535
oct6015003170512200
91023560086323063
10212000020010112
1161605781515034
121b93b035911140
13913a692b66669
143a4cbda130d8c
151979918b13b0c
hexc0d019e29480

212000020010112 has 128 divisors (see below), whose sum is σ = 571893813792000. Its totient is φ = 69567623009280.

The previous prime is 212000020010099. The next prime is 212000020010131. The reversal of 212000020010112 is 211010020000212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37796139 + ... + 43041237.

It is an arithmetic number, because the mean of its divisors is an integer number (4467920420250).

Almost surely, 2212000020010112 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 212000020010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285946906896000).

212000020010112 is an abundant number, since it is smaller than the sum of its proper divisors (359893793781888).

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

212000020010112 is a wasteful number, since it uses less digits than its factorization.

212000020010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246754 (or 5246742 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212000020010112 its reverse (211010020000212), we get a palindrome (423010040010324).

The spelling of 212000020010112 in words is "two hundred twelve trillion, twenty million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 268 384 402 536 804 1072 1571 1608 2144 3142 3216 4288 4713 6284 6432 8576 9426 12568 12864 18852 25136 25728 37704 50272 75408 100544 105257 150816 201088 210514 301632 315771 421028 603264 631542 842056 1263084 1684112 2526168 3368224 5052336 5245099 6736448 10104672 10490198 13472896 15735297 20209344 20980396 31470594 40418688 41960792 62941188 83921584 125882376 167843168 251764752 335686336 351421633 503529504 671372672 702843266 1007059008 1054264899 1405686532 2014118016 2108529798 2811373064 4217059596 5622746128 8240050529 8434119192 11245492256 16480101058 16868238384 22490984512 24720151587 32960202116 33736476768 44981969024 49440303174 65920404232 67472953536 98880606348 131840808464 134945907072 197761212696 263681616928 395522425392 527363233856 552083385443 791044850784 1054726467712 1104166770886 1582089701568 1656250156329 2208333541772 3164179403136 3312500312658 4416667083544 6625000625316 8833334167088 13250001250632 17666668334176 26500002501264 35333336668352 53000005002528 70666673336704 106000010005056 212000020010112