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1202222122112 = 27119711377899
BaseRepresentation
bin10001011111101010000…
…001011100010010000000
311020221010221000121110102
4101133222001130102000
5124144122330401422
62320143200221532
7152600120300114
oct21375201342200
94227127017412
101202222122112
11423950056350
12174bb990a8a8
13894a4a9366b
144228b6c3744
1521414d27192
hex117ea05c480

1202222122112 has 128 divisors (see below), whose sum is σ = 2663114328000. Its totient is φ = 536037949440.

The previous prime is 1202222122091. The next prime is 1202222122133. The reversal of 1202222122112 is 2112212222021.

It is an interprime number because it is at equal distance from previous prime (1202222122091) and next prime (1202222122133).

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

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, 15394139 + ... + 15472037.

Almost surely, 21202222122112 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 1202222122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331557164000).

1202222122112 is an abundant number, since it is smaller than the sum of its proper divisors (1460892205888).

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

1202222122112 is a wasteful number, since it uses less digits than its factorization.

1202222122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78134 (or 78122 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1202222122112 its reverse (2112212222021), we get a palindrome (3314434344133).

Subtracting 1202222122112 from its reverse (2112212222021), we obtain a palindrome (909990099909).

The spelling of 1202222122112 in words is "one trillion, two hundred two billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 113 128 176 194 226 352 388 452 704 776 904 1067 1243 1408 1552 1808 2134 2486 3104 3616 4268 4972 6208 7232 8536 9944 10961 12416 14464 17072 19888 21922 34144 39776 43844 68288 77899 79552 87688 120571 136576 155798 159104 175376 241142 311596 350752 482284 623192 701504 856889 964568 1246384 1403008 1713778 1929136 2492768 3427556 3858272 4985536 6855112 7556203 7716544 8802587 9971072 13710224 15112406 15433088 17605174 27420448 30224812 35210348 54840896 60449624 70420696 83118233 96828457 109681792 120899248 140841392 166236466 193656914 241798496 281682784 332472932 387313828 483596992 563365568 664945864 774627656 853850939 967193984 1126731136 1329891728 1549255312 1707701878 2659783456 3098510624 3415403756 5319566912 6197021248 6830807512 9392360329 10639133824 12394042496 13661615024 18784720658 27323230048 37569441316 54646460096 75138882632 109292920192 150277765264 300555530528 601111061056 1202222122112