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11212010112 = 273179163117
BaseRepresentation
bin10100111000100100…
…11011001010000000
31001221101101010102210
422130102123022000
5140430233310422
65052320142120
7544562341062
oct123422331200
931841333383
1011212010112
114833984166
12220aa67940
131098b28414
147850db732
154594bc10c
hex29c49b280

11212010112 has 64 divisors (see below), whose sum is σ = 29948464800. Its totient is φ = 3716434944.

The previous prime is 11212010057. The next prime is 11212010171. The reversal of 11212010112 is 21101021211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12823 + ... + 150294.

Almost surely, 211212010112 is an apocalyptic number.

11212010112 is a gapful number since it is divisible by the number (12) 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 11212010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14974232400).

11212010112 is an abundant number, since it is smaller than the sum of its proper divisors (18736454688).

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

11212010112 is a wasteful number, since it uses less digits than its factorization.

11212010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163313 (or 163301 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11212010112 its reverse (21101021211), we get a palindrome (32313031323).

The spelling of 11212010112 in words is "eleven billion, two hundred twelve million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 358 384 537 716 1074 1432 2148 2864 4296 5728 8592 11456 17184 22912 34368 68736 163117 326234 489351 652468 978702 1304936 1957404 2609872 3914808 5219744 7829616 10439488 15659232 20878976 29197943 31318464 58395886 62636928 87593829 116791772 175187658 233583544 350375316 467167088 700750632 934334176 1401501264 1868668352 2803002528 3737336704 5606005056 11212010112