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20111200122112 = 281125631153199
BaseRepresentation
bin1001001001010100000001…
…11100000111010100000000
32122012121112010010000001221
410210222000330013110000
510114000214212401422
6110434542514404424
74143662200326421
oct444520074072400
978177463100057
1020111200122112
116454126197700
122309828290714
13b2b62a318868
144d755c9a3648
1524d2124e03c7
hex124a80f07500

20111200122112 has 108 divisors (see below), whose sum is σ = 44203461422400. Its totient is φ = 9125209646080.

The previous prime is 20111200122077. The next prime is 20111200122119. The reversal of 20111200122112 is 21122100211102.

It is a super-2 number, since 2×201112001221122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111200122119) 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, 16862889 + ... + 18016087.

Almost surely, 220111200122112 is an apocalyptic number.

20111200122112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111200122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22101730711200).

20111200122112 is an abundant number, since it is smaller than the sum of its proper divisors (24092261300288).

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

20111200122112 is a wasteful number, since it uses less digits than its factorization.

20111200122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153800 (or 1153775 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20111200122112 its reverse (21122100211102), we get a palindrome (41233300333214).

The spelling of 20111200122112 in words is "twenty trillion, one hundred eleven billion, two hundred million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 563 704 968 1126 1408 1936 2252 2816 3872 4504 6193 7744 9008 12386 15488 18016 24772 30976 36032 49544 68123 72064 99088 136246 144128 198176 272492 396352 544984 792704 1089968 1153199 1585408 2179936 2306398 4359872 4612796 8719744 9225592 12685189 17439488 18451184 25370378 36902368 50740756 73804736 101481512 139537079 147609472 202963024 279074158 295218944 405926048 558148316 649251037 811852096 1116296632 1298502074 1623704192 2232593264 2597004148 3247408384 4465186528 5194008296 7141761407 8930373056 10388016592 14283522814 17860746112 20776033184 28567045628 35721492224 41552066368 57134091256 78559375477 83104132736 114268182512 157118750954 166208265472 228536365024 314237501908 457072730048 628475003816 914145460096 1256950007632 1828290920192 2513900015264 5027800030528 10055600061056 20111200122112