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1221010112 = 26743241263
BaseRepresentation
bin100100011000111…
…0010001011000000
310011002112201222202
41020301302023000
510000034310422
6321054252332
742154262150
oct11061621300
93132481882
101221010112
11577256a73
122a0ab70a8
13165c6c5ba
14b823c760
15722dab92
hex48c722c0

1221010112 has 112 divisors (see below), whose sum is σ = 2856049152. Its totient is φ = 507064320.

The previous prime is 1221010111. The next prime is 1221010117. The reversal of 1221010112 is 2110101221.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 1221010093 and 1221010102.

It is not an unprimeable number, because it can be changed into a prime (1221010111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4642493 + ... + 4642755.

Almost surely, 21221010112 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 1221010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428024576).

1221010112 is an abundant number, since it is smaller than the sum of its proper divisors (1635039040).

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

1221010112 is a wasteful number, since it uses less digits than its factorization.

1221010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1221010112 is about 34942.9551125831. The cubic root of 1221010112 is about 1068.8245489897.

Adding to 1221010112 its reverse (2110101221), we get a palindrome (3331111333).

It can be divided in two parts, 12210 and 10112, that added together give a palindrome (22322).

The spelling of 1221010112 in words is "one billion, two hundred twenty-one million, ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 224 241 263 301 344 448 482 526 602 688 964 1052 1204 1376 1687 1841 1928 2104 2408 2752 3374 3682 3856 4208 4816 6748 7364 7712 8416 9632 10363 11309 13496 14728 15424 16832 19264 20726 22618 26992 29456 41452 45236 53984 58912 63383 72541 79163 82904 90472 107968 117824 126766 145082 158326 165808 180944 253532 290164 316652 331616 361888 443681 507064 580328 633304 663232 723776 887362 1014128 1160656 1266608 1774724 2028256 2321312 2533216 2725469 3549448 4056512 4642624 5066432 5450938 7098896 10901876 14197792 19078283 21803752 28395584 38156566 43607504 76313132 87215008 152626264 174430016 305252528 610505056 1221010112