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11220220122012 = 223211832631297993
BaseRepresentation
bin1010001101000110100100…
…1111000001001110011100
31110201122100102122222200200
42203101221033001032130
52432313002322401022
635510255321023500
72235430341266346
oct243215117011634
943648312588620
1011220220122012
113636517826050
121312679024b90
136350a68cbc65
142ab0c0c7c296
15146ce4d7abac
hexa34693c139c

11220220122012 has 144 divisors (see below), whose sum is σ = 31432471918848. Its totient is φ = 3346327215360.

The previous prime is 11220220121953. The next prime is 11220220122029. The reversal of 11220220122012 is 21022102202211.

It is a happy number.

11220220122012 is a `hidden beast` number, since 1 + 1 + 220 + 220 + 1 + 220 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7995288 + ... + 9293280.

It is an arithmetic number, because the mean of its divisors is an integer number (218281054992).

Almost surely, 211220220122012 is an apocalyptic number.

11220220122012 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 11220220122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15716235959424).

11220220122012 is an abundant number, since it is smaller than the sum of its proper divisors (20212251796836).

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

11220220122012 is a wasteful number, since it uses less digits than its factorization.

11220220122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298360 (or 1298355 counting only the distinct ones).

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

Adding to 11220220122012 its reverse (21022102202211), we get a palindrome (32242322324223).

The spelling of 11220220122012 in words is "eleven trillion, two hundred twenty billion, two hundred twenty million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 83 99 132 166 198 249 263 332 396 498 526 747 789 913 996 1052 1494 1578 1826 2367 2739 2893 2988 3156 3652 4734 5478 5786 8217 8679 9468 10956 11572 16434 17358 21829 26037 32868 34716 43658 52074 65487 87316 104148 130974 196461 240119 261948 392922 480238 720357 785844 960476 1297993 1440714 2161071 2595986 2881428 3893979 4322142 5191972 7787958 8644284 11681937 14277923 15575916 23363874 28555846 42833769 46727748 57111692 85667538 107733419 128501307 171335076 215466838 257002614 323200257 341372159 430933676 514005228 646400514 682744318 969600771 1024116477 1185067609 1292801028 1365488636 1939201542 2048232954 2370135218 3072349431 3555202827 3755093749 3878403084 4096465908 4740270436 6144698862 7110405654 7510187498 10665608481 11265281247 12289397724 14220811308 15020374996 21331216962 22530562494 28333889197 33795843741 42662433924 45061124988 56667778394 67591687482 85001667591 113335556788 135183374964 170003335182 255005002773 311672781167 340006670364 510010005546 623345562334 935018343501 1020020011092 1246691124668 1870036687002 2805055030503 3740073374004 5610110061006 11220220122012