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11212100222112 = 2532109335618393
BaseRepresentation
bin1010001100101000010101…
…0000000011110010100000
31110200212101112122100001100
42203022011100003302200
52432144340124101422
635502433455234400
72235022203262656
oct243120520036240
943625345570040
1011212100222112
113633030305079
121310b91818a00
136343b159866a
142aa9506c2dd6
151469bc0997ac
hexa3285403ca0

11212100222112 has 72 divisors (see below), whose sum is σ = 31913582366484. Its totient is φ = 3733947270144.

The previous prime is 11212100222069. The next prime is 11212100222129. The reversal of 11212100222112 is 21122200121211.

11212100222112 is a `hidden beast` number, since 1 + 121 + 210 + 0 + 222 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6352033064976 + 4860067157136 = 2520324^2 + 2204556^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×112121002221122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17494413 + ... + 18123980.

Almost surely, 211212100222112 is an apocalyptic number.

11212100222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11212100222112 is an abundant number, since it is smaller than the sum of its proper divisors (20701482144372).

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

11212100222112 is a wasteful number, since it uses less digits than its factorization.

11212100222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35619502 (or 35619491 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11212100222112 its reverse (21122200121211), we get a palindrome (32334300343323).

The spelling of 11212100222112 in words is "eleven trillion, two hundred twelve billion, one hundred million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1093 2186 3279 4372 6558 8744 9837 13116 17488 19674 26232 34976 39348 52464 78696 104928 157392 314784 35618393 71236786 106855179 142473572 213710358 284947144 320565537 427420716 569894288 641131074 854841432 1139788576 1282262148 1709682864 2564524296 3419365728 5129048592 10258097184 38930903549 77861807098 116792710647 155723614196 233585421294 311447228392 350378131941 467170842588 622894456784 700756263882 934341685176 1245788913568 1401512527764 1868683370352 2803025055528 3737366740704 5606050111056 11212100222112