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12211120101012 = 2237197441736273
BaseRepresentation
bin1011000110110001111101…
…1110011101011010010100
31121020101000221210110010220
42301230133132131122110
53100031333221213022
641545413334314340
72400136640164050
oct261543736353224
947211027713126
1012211120101012
113988785a54528
12145271b4b89b0
136a7671797291
143030428b4c60
1516298c75985c
hexb1b1f79d694

12211120101012 has 48 divisors (see below), whose sum is σ = 32563196088192. Its totient is φ = 3488869048320.

The previous prime is 12211120100947. The next prime is 12211120101031. The reversal of 12211120101012 is 21010102111221.

It is a happy number.

It is a super-2 number, since 2×122111201010122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211120100982 and 12211120101000.

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, 16216908 + ... + 16953180.

It is an arithmetic number, because the mean of its divisors is an integer number (678399918504).

Almost surely, 212211120101012 is an apocalyptic number.

12211120101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12211120101012 is an abundant number, since it is smaller than the sum of its proper divisors (20352075987180).

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

12211120101012 is a wasteful number, since it uses less digits than its factorization.

12211120101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933728 (or 933726 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12211120101012 its reverse (21010102111221), we get a palindrome (33221222212233).

The spelling of 12211120101012 in words is "twelve trillion, two hundred eleven billion, one hundred twenty million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 197441 394882 592323 736273 789764 1184646 1382087 1472546 2208819 2369292 2764174 2945092 4146261 4417638 5153911 5528348 8292522 8835276 10307822 15461733 16585044 20615644 30923466 61846932 145370477393 290740954786 436111432179 581481909572 872222864358 1017593341751 1744445728716 2035186683502 3052780025253 4070373367004 6105560050506 12211120101012