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2112125666136 = 2331959229342821
BaseRepresentation
bin11110101111000100100…
…000000000001101011000
321110220202200001212002120
4132233010200000031120
5234101113132304021
64254144103101240
7305411304640623
oct36570440001530
97426680055076
102112125666136
1174482496a372
122a1416741820
13124232267595
14743280c0dba
1539e1ba0c2c6
hex1ebc4800358

2112125666136 has 128 divisors (see below), whose sum is σ = 5677132320000. Its totient is φ = 652817041920.

The previous prime is 2112125666129. The next prime is 2112125666137. The reversal of 2112125666136 is 6316665212112.

It is a super-2 number, since 2×21121256661362 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112125666137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5989606 + ... + 6332426.

It is an arithmetic number, because the mean of its divisors is an integer number (44352596250).

Almost surely, 22112125666136 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 2112125666136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838566160000).

2112125666136 is an abundant number, since it is smaller than the sum of its proper divisors (3565006653864).

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

2112125666136 is a wasteful number, since it uses less digits than its factorization.

2112125666136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343137 (or 343133 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The spelling of 2112125666136 in words is "two trillion, one hundred twelve billion, one hundred twenty-five million, six hundred sixty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 59 76 114 118 152 177 228 229 236 354 456 458 472 687 708 916 1121 1374 1416 1832 2242 2748 3363 4351 4484 5496 6726 8702 8968 13053 13452 13511 17404 26106 26904 27022 34808 40533 52212 54044 81066 104424 108088 162132 256709 324264 342821 513418 685642 770127 1026836 1028463 1371284 1540254 2053672 2056926 2742568 3080508 4113852 6161016 6513599 8227704 13027198 19540797 20226439 26054396 39081594 40452878 52108792 60679317 78163188 78506009 80905756 121358634 156326376 157012018 161811512 235518027 242717268 314024036 384302341 471036054 485434536 628048072 768604682 942072108 1152907023 1491614171 1537209364 1884144216 2305814046 2983228342 3074418728 4474842513 4611628092 4631854531 5966456684 8949685026 9223256184 9263709062 11932913368 13895563593 17899370052 18527418124 27791127186 35798740104 37054836248 55582254372 88005236089 111164508744 176010472178 264015708267 352020944356 528031416534 704041888712 1056062833068 2112125666136