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212101200021120 = 2735137806345803
BaseRepresentation
bin110000001110011110101000…
…101011110000011010000000
31000210222200021022101220010020
4300032132220223300122000
5210300031224201133440
62031033540211133440
762450543314322424
oct6016365053603200
91023880238356106
10212101200021120
1161644682a43943
121b9567728a4280
139147098c8c167
143a53a77b9ab84
15197c38b73b3d0
hexc0e7a8af0680

212101200021120 has 128 divisors (see below), whose sum is σ = 681007412226240. Its totient is φ = 56147470884864.

The previous prime is 212101200021089. The next prime is 212101200021157. The reversal of 212101200021120 is 21120002101212.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212101200021120.

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, 402909862 + ... + 403435941.

Almost surely, 2212101200021120 is an apocalyptic number.

212101200021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101200021120 is an abundant number, since it is smaller than the sum of its proper divisors (468906212205120).

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

212101200021120 is a wasteful number, since it uses less digits than its factorization.

212101200021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806345962 (or 806345950 counting only the distinct ones).

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

Adding to 212101200021120 its reverse (21120002101212), we get a palindrome (233221202122332).

The spelling of 212101200021120 in words is "two hundred twelve trillion, one hundred one billion, two hundred million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 137 160 192 240 274 320 384 411 480 548 640 685 822 960 1096 1370 1644 1920 2055 2192 2740 3288 4110 4384 5480 6576 8220 8768 10960 13152 16440 17536 21920 26304 32880 43840 52608 65760 87680 131520 263040 806345803 1612691606 2419037409 3225383212 4031729015 4838074818 6450766424 8063458030 9676149636 12095187045 12901532848 16126916060 19352299272 24190374090 25803065696 32253832120 38704598544 48380748180 51606131392 64507664240 77409197088 96761496360 103212262784 110469375011 129015328480 154818394176 193522992720 220938750022 258030656960 309636788352 331408125033 387045985440 441877500044 516061313920 552346875055 662816250066 774091970880 883755000088 1104693750110 1325632500132 1548183941760 1657040625165 1767510000176 2209387500220 2651265000264 3314081250330 3535020000352 4418775000440 5302530000528 6628162500660 7070040000704 8837550000880 10605060001056 13256325001320 14140080001408 17675100001760 21210120002112 26512650002640 35350200003520 42420240004224 53025300005280 70700400007040 106050600010560 212101200021120