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11221222002012 = 223211127577938609
BaseRepresentation
bin1010001101001010010011…
…1100111000110101011100
31110201201221020212202200100
42203102210330320311130
52432322030313031022
635510542550501100
72235464225160321
oct243224474706534
943651836782610
1011221222002012
113636991313350
1213128b8664790
13635206346a69
142ab177d58b48
15146d52cce1ac
hexa34a4f38d5c

11221222002012 has 144 divisors (see below), whose sum is σ = 31193222860800. Its totient is φ = 3372924602880.

The previous prime is 11221222001933. The next prime is 11221222002013. The reversal of 11221222002012 is 21020022212211.

It is a happy number.

11221222002012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221222002013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290618164 + ... + 290656772.

It is an arithmetic number, because the mean of its divisors is an integer number (216619603200).

Almost surely, 211221222002012 is an apocalyptic number.

11221222002012 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 11221222002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15596611430400).

11221222002012 is an abundant number, since it is smaller than the sum of its proper divisors (19972000858788).

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

11221222002012 is a wasteful number, since it uses less digits than its factorization.

11221222002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44536 (or 44531 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11221222002012 its reverse (21020022212211), we get a palindrome (32241244214223).

The spelling of 11221222002012 in words is "eleven trillion, two hundred twenty-one billion, two hundred twenty-two million, two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 127 132 198 254 381 396 508 762 1143 1397 1524 2286 2794 4191 4572 5588 5779 8382 11558 12573 16764 17337 23116 25146 34674 38609 50292 52011 63569 69348 77218 104022 115827 127138 154436 190707 208044 231654 254276 347481 381414 424699 463308 572121 694962 733933 762828 849398 1144242 1274097 1389924 1467866 1698796 2201799 2288484 2548194 2935732 3822291 4403598 4903343 5096388 6605397 7644582 8073263 8807196 9806686 13210794 14710029 15289164 16146526 19613372 24219789 26421588 29420058 32293052 44130087 48439578 53936773 58840116 72659367 88260174 96879156 107873546 145318734 161810319 176520348 215747092 223121411 290637468 323620638 446242822 485430957 647241276 669364233 892485644 970861914 1338728466 1941723828 2008092699 2454335521 2677456932 4016185398 4908671042 7363006563 8032370796 9817342084 14726013126 22089019689 28336419197 29452026252 44178039378 56672838394 85009257591 88356078756 113345676788 170018515182 255027772773 311700611167 340037030364 510055545546 623401222334 935101833501 1020111091092 1246802444668 1870203667002 2805305500503 3740407334004 5610611001006 11221222002012