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2122101200000 = 27555305253
BaseRepresentation
bin11110111000010111000…
…101101001010010000000
321111212111212210110222202
4132320113011221102000
5234232030401400000
64302514013252332
7306213434403005
oct36702705512200
97455455713882
102122101200000
11748a83893631
122a333b4940a8
13125161b69842
14749d2cb58ac
153a302685dd5
hex1ee17169480

2122101200000 has 96 divisors (see below), whose sum is σ = 5284192141620. Its totient is φ = 848840320000.

The previous prime is 2122101199957. The next prime is 2122101200003. The reversal of 2122101200000 is 21012212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 976937536 + 2121124262464 = 31256^2 + 1456408^2 .

It is not an unprimeable number, because it can be changed into a prime (2122101200003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2252627 + ... + 3052626.

Almost surely, 22122101200000 is an apocalyptic number.

2122101200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122101200000 is an abundant number, since it is smaller than the sum of its proper divisors (3162090941620).

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

2122101200000 is an frugal number, since it uses more digits than its factorization.

2122101200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5305292 (or 5305260 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2122101200000 its reverse (21012212), we get a palindrome (2122122212212).

The spelling of 2122101200000 in words is "two trillion, one hundred twenty-two billion, one hundred one million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 16000 20000 25000 40000 50000 80000 100000 200000 400000 5305253 10610506 21221012 26526265 42442024 53052530 84884048 106105060 132631325 169768096 212210120 265262650 339536192 424420240 530525300 663156625 679072384 848840480 1061050600 1326313250 1697680960 2122101200 2652626500 3315783125 3395361920 4244202400 5305253000 6631566250 8488404800 10610506000 13263132500 16578915625 16976809600 21221012000 26526265000 33157831250 42442024000 53052530000 66315662500 84884048000 106105060000 132631325000 212210120000 265262650000 424420240000 530525300000 1061050600000 2122101200000