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11201212002112 = 2611291393947113
BaseRepresentation
bin1010001011111111110001…
…0000110010111101000000
31110122211021201112110010221
42202333330100302331000
52432010040233031422
635453433223032424
72234155322034226
oct242777420627500
943584251473127
1011201212002112
113629453184250
12130aa5329b714
1363336787a632
142aa1da5ccb16
1514658123a3c7
hexa2ffc432f40

11201212002112 has 112 divisors (see below), whose sum is σ = 25264687291200. Its totient is φ = 4880525045760.

The previous prime is 11201212002107. The next prime is 11201212002139. The reversal of 11201212002112 is 21120021210211.

11201212002112 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 (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 864268 + ... + 4811380.

It is an arithmetic number, because the mean of its divisors is an integer number (225577565100).

Almost surely, 211201212002112 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 11201212002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12632343645600).

11201212002112 is an abundant number, since it is smaller than the sum of its proper divisors (14063475289088).

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

11201212002112 is a wasteful number, since it uses less digits than its factorization.

11201212002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947304 (or 3947294 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11201212002112 its reverse (21120021210211), we get a palindrome (32321233212323).

The spelling of 11201212002112 in words is "eleven trillion, two hundred one billion, two hundred twelve million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 139 176 232 278 319 352 464 556 638 704 928 1112 1276 1529 1856 2224 2552 3058 4031 4448 5104 6116 8062 8896 10208 12232 16124 20416 24464 32248 44341 48928 64496 88682 97856 128992 177364 257984 354728 709456 1418912 2837824 3947113 7894226 15788452 31576904 43418243 63153808 86836486 114466277 126307616 173672972 228932554 252615232 347345944 457865108 548648707 694691888 915730216 1097297414 1259129047 1389383776 1831460432 2194594828 2518258094 2778767552 3662920864 4389189656 5036516188 6035135777 7325841728 8778379312 10073032376 12070271554 15910812503 17556758624 20146064752 24140543108 31821625006 35113517248 40292129504 48281086216 63643250012 80584259008 96562172432 127286500024 175018937533 193124344864 254573000048 350037875066 386248689728 509146000096 700075750132 1018292000192 1400151500264 2800303000528 5600606001056 11201212002112