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12112100100016 = 247434335808247
BaseRepresentation
bin1011000001000001000101…
…1011001000011110110000
31120212220110002012012210121
42300100101123020132300
53041421040111200031
641432115540140024
72360033063104360
oct260202133103660
946786402165717
1012112100100016
11394a792821164
1214374a5997614
1369b221011007
142dc32ba769a0
151600e45a0011
hexb04116c87b0

12112100100016 has 80 divisors (see below), whose sum is σ = 27506747344384. Its totient is φ = 5058471140352.

The previous prime is 12112100099963. The next prime is 12112100100017. The reversal of 12112100100016 is 61000100121121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12112100100017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 818796 + ... + 4989451.

Almost surely, 212112100100016 is an apocalyptic number.

12112100100016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12112100100016 is an abundant number, since it is smaller than the sum of its proper divisors (15394647244368).

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

12112100100016 is a wasteful number, since it uses less digits than its factorization.

12112100100016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5808738 (or 5808732 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 12112100100016 its reverse (61000100121121), we get a palindrome (73112200221137).

The spelling of 12112100100016 in words is "twelve trillion, one hundred twelve billion, one hundred million, one hundred thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 433 602 688 866 1204 1732 2408 3031 3464 4816 6062 6928 12124 18619 24248 37238 48496 74476 130333 148952 260666 297904 521332 1042664 2085328 5808247 11616494 23232988 40657729 46465976 81315458 92931952 162630916 249754621 325261832 499509242 650523664 999018484 1748282347 1998036968 2514970951 3496564694 3996073936 5029941902 6993129388 10059883804 13986258776 17604796657 20119767608 27972517552 35209593314 40239535216 70419186628 108143750893 140838373256 216287501786 281676746512 432575003572 757006256251 865150007144 1514012512502 1730300014288 3028025025004 6056050050008 12112100100016