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11220212012112 = 2436961952333
BaseRepresentation
bin1010001101000110100011…
…0000000101010001010000
31110201122022212101222000000
42203101220300011101100
52432312443233341422
635510254431130000
72235430212331335
oct243215060052120
943648285358000
1011220212012112
113636513196a54
121312676373900
136350a501c7bc
142ab0bdb6a98c
15146ce42c7cac
hexa3468c05450

11220212012112 has 70 divisors (see below), whose sum is σ = 32593830932922. Its totient is φ = 3740070666816.

The previous prime is 11220212012111. The next prime is 11220212012189. The reversal of 11220212012112 is 21121021202211.

11220212012112 is a `hidden beast` number, since 11 + 220 + 21 + 201 + 211 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7738166443536 + 3482045568576 = 2781756^2 + 1866024^2 .

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 (11220212012111) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 480964503 + ... + 480987830.

Almost surely, 211220212012112 is an apocalyptic number.

11220212012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11220212012112 is an abundant number, since it is smaller than the sum of its proper divisors (21373618920810).

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

11220212012112 is an frugal number, since it uses more digits than its factorization.

11220212012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961952359 (or 961952338 counting only the distinct ones).

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

Adding to 11220212012112 its reverse (21121021202211), we get a palindrome (32341233214323).

The spelling of 11220212012112 in words is "eleven trillion, two hundred twenty billion, two hundred twelve million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 961952333 1923904666 2885856999 3847809332 5771713998 7695618664 8657570997 11543427996 15391237328 17315141994 23086855992 25972712991 34630283988 46173711984 51945425982 69260567976 77918138973 103890851964 138521135952 155836277946 207781703928 233754416919 311672555892 415563407856 467508833838 623345111784 701263250757 935017667676 1246690223568 1402526501514 1870035335352 2805053003028 3740070670704 5610106006056 11220212012112