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12111122001020 = 22571012633256711
BaseRepresentation
bin1011000000111101011100…
…0111111110110001111100
31120212210220220201122012212
42300033113013332301330
53041412034213013040
641431434520115552
72356666615310660
oct260172707766174
946783826648185
1012111122001020
11394a3306a6989
121437272305bb8
1369b0c64a1603
142dc277bca8a0
15160088797d65
hexb03d71fec7c

12111122001020 has 96 divisors (see below), whose sum is σ = 29466104887296. Its totient is φ = 4095638496000.

The previous prime is 12111122001019. The next prime is 12111122001061. The reversal of 12111122001020 is 2010022111121.

It is a super-2 number, since 2×121111220010202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12111122000986 and 12111122001004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2090465 + ... + 5347175.

It is an arithmetic number, because the mean of its divisors is an integer number (306938592576).

Almost surely, 212111122001020 is an apocalyptic number.

12111122001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12111122001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14733052443648).

12111122001020 is an abundant number, since it is smaller than the sum of its proper divisors (17354982886276).

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

12111122001020 is a wasteful number, since it uses less digits than its factorization.

12111122001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257091 (or 3257089 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12111122001020 its reverse (2010022111121), we get a palindrome (14121144112141).

The spelling of 12111122001020 in words is "twelve trillion, one hundred eleven billion, one hundred twenty-two million, one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 263 404 505 526 707 1010 1052 1315 1414 1841 2020 2630 2828 3535 3682 5260 7070 7364 9205 14140 18410 26563 36820 53126 106252 132815 185941 265630 371882 531260 743764 929705 1859410 3256711 3718820 6513422 13026844 16283555 22796977 32567110 45593954 65134220 91187908 113984885 227969770 328927811 455939540 657855622 856514993 1315711244 1644639055 1713029986 2302494677 3289278110 3426059972 4282574965 4604989354 5995604951 6578556220 8565149930 9209978708 11512473385 11991209902 17130299860 23024946770 23982419804 29978024755 46049893540 59956049510 86508014293 119912099020 173016028586 346032057172 432540071465 605556100051 865080142930 1211112200102 1730160285860 2422224400204 3027780500255 6055561000510 12111122001020