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11220112111012 = 22747121323772957
BaseRepresentation
bin1010001101000110001011…
…0010111111010110100100
31110201122001220102110110021
42203101202302333112210
52432312242200023022
635510240502004524
72235424560230440
oct243214262772644
943648056373407
1011220112111012
113636471862862
121312648a16744
1363508a41201c
142ab0b07a3820
15146cda6427c7
hexa3462cbf5a4

11220112111012 has 96 divisors (see below), whose sum is σ = 22953978528768. Its totient is φ = 4698860626944.

The previous prime is 11220112110941. The next prime is 11220112111037. The reversal of 11220112111012 is 21011121102211.

11220112111012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3794422638 + ... + 3794425594.

It is an arithmetic number, because the mean of its divisors is an integer number (239103943008).

Almost surely, 211220112111012 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 11220112111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11476989264384).

11220112111012 is an abundant number, since it is smaller than the sum of its proper divisors (11733866417756).

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

11220112111012 is a wasteful number, since it uses less digits than its factorization.

11220112111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6605 (or 6603 counting only the distinct ones).

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

Adding to 11220112111012 its reverse (21011121102211), we get a palindrome (32231233213223).

The spelling of 11220112111012 in words is "eleven trillion, two hundred twenty billion, one hundred twelve million, one hundred eleven thousand, twelve".

Divisors: 1 2 4 7 14 28 47 94 188 329 658 1213 1316 2377 2426 2957 4754 4852 5914 8491 9508 11828 16639 16982 20699 33278 33964 41398 57011 66556 82796 111719 114022 138979 223438 228044 277958 399077 446876 555916 782033 798154 972853 1564066 1596308 1945706 2883301 3128132 3586841 3891412 5766602 7028789 7173682 11533204 14057578 14347364 20183107 25107887 28115156 40366214 49201523 50215774 80732428 98403046 100431548 135515147 168581527 196806092 271030294 330353083 337163054 542060588 660706166 674326108 948606029 1180070689 1321412332 1897212058 2312471581 2360141378 3794424116 4624943162 4720282756 8525921057 9249886324 17051842114 34103684228 59681447399 119362894798 238725789596 400718289679 801436579358 1602873158716 2805028027753 5610056055506 11220112111012