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11211111112212 = 22321148221587107
BaseRepresentation
bin1010001100100100101001…
…0010111001111000010100
31110200202211121110100100100
42203021022102321320110
52432140323421042322
635502151403214100
72234655533056434
oct243111222717024
943622747410310
1011211111112212
113632672a4a180
121310956517330
136342846a222b
142aa8991ac2c4
15146960319dac
hexa324a4b9e14

11211111112212 has 72 divisors (see below), whose sum is σ = 30916181997792. Its totient is φ = 3397230158400.

The previous prime is 11211111112207. The next prime is 11211111112217. The reversal of 11211111112212 is 21221111111211.

It is an interprime number because it is at equal distance from previous prime (11211111112207) and next prime (11211111112217).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211111112217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18801963 + ... + 19389069.

It is an arithmetic number, because the mean of its divisors is an integer number (429391416636).

Almost surely, 211211111112212 is an apocalyptic number.

11211111112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11211111112212 is an abundant number, since it is smaller than the sum of its proper divisors (19705070885580).

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

11211111112212 is a wasteful number, since it uses less digits than its factorization.

11211111112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635349 (or 635344 counting only the distinct ones).

The product of its digits is 16, while the sum is 18.

Adding to 11211111112212 its reverse (21221111111211), we get a palindrome (32432222223423).

The spelling of 11211111112212 in words is "eleven trillion, two hundred eleven billion, one hundred eleven million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 48221 96442 144663 192884 289326 433989 530431 578652 587107 867978 1060862 1174214 1591293 1735956 1761321 2121724 2348428 3182586 3522642 4773879 5283963 6365172 6458177 7045284 9547758 10567926 12916354 19095516 19374531 21135852 25832708 38749062 58123593 77498124 116247186 232494372 28310886647 56621773294 84932659941 113243546588 169865319882 254797979823 311419753117 339730639764 509595959646 622839506234 934259259351 1019191919292 1245679012468 1868518518702 2802777778053 3737037037404 5605555556106 11211111112212