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212012010200112 = 24361160145227029
BaseRepresentation
bin110000001101001011100100…
…100011100101110000110000
31000210200011001112000112122020
4300031023210203211300300
5210242101044102400422
62030524550051511440
762441235153335643
oct6015134443456060
91023604045015566
10212012010200112
116160a874686271
121b9414212b8580
13913b853c74c45
143a4d616717a5a
151979dbb59795c
hexc0d2e48e5c30

212012010200112 has 80 divisors (see below), whose sum is σ = 557024061437280. Its totient is φ = 69468715008000.

The previous prime is 212012010200071. The next prime is 212012010200119. The reversal of 212012010200112 is 211002010210212.

It is a junction number, because it is equal to n+sod(n) for n = 212012010200091 and 212012010200100.

It is not an unprimeable number, because it can be changed into a prime (212012010200119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17925787 + ... + 27301242.

It is an arithmetic number, because the mean of its divisors is an integer number (6962800767966).

Almost surely, 2212012010200112 is an apocalyptic number.

It is an amenable number.

212012010200112 is an abundant number, since it is smaller than the sum of its proper divisors (345012051237168).

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

212012010200112 is a wasteful number, since it uses less digits than its factorization.

212012010200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45228702 (or 45228696 counting only the distinct ones).

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

Adding to 212012010200112 its reverse (211002010210212), we get a palindrome (423014020410324).

The spelling of 212012010200112 in words is "two hundred twelve trillion, twelve billion, ten million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 1601 2928 3202 4803 6404 9606 12808 19212 25616 38424 76848 97661 195322 292983 390644 585966 781288 1171932 1562576 2343864 4687728 45227029 90454058 135681087 180908116 271362174 361816232 542724348 723632464 1085448696 2170897392 2758848769 5517697538 8276546307 11035395076 16553092614 22070790152 33106185228 44141580304 66212370456 72408473429 132424740912 144816946858 217225420287 289633893716 434450840574 579267787432 868901681148 1158535574864 1737803362296 3475606724592 4416916879169 8833833758338 13250750637507 17667667516676 26501501275014 35335335033352 53003002550028 70670670066704 106006005100056 212012010200112