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12121120121112 = 2333130399430343
BaseRepresentation
bin1011000001100010101100…
…0011110010000100011000
31120220202201200221202121000
42300120223003302010120
53042043023222333422
641440210554345000
72360502441033102
oct260305303620430
946822650852530
1012121120121112
1139535a1347552
1214391a272b160
1369c02a9811c2
142dc9459c0572
151604713d3cac
hexb062b0f2118

12121120121112 has 64 divisors (see below), whose sum is σ = 33670114560000. Its totient is φ = 4040333000352.

The previous prime is 12121120121051. The next prime is 12121120121129. The reversal of 12121120121112 is 21112102112121.

It is a happy number.

12121120121112 is a `hidden beast` number, since 121 + 211 + 201 + 21 + 112 = 666.

It is a super-3 number, since 3×121211201211123 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 27951013 + ... + 28381355.

It is an arithmetic number, because the mean of its divisors is an integer number (526095540000).

Almost surely, 212121120121112 is an apocalyptic number.

12121120121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12121120121112 is an abundant number, since it is smaller than the sum of its proper divisors (21548994438888).

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

12121120121112 is a wasteful number, since it uses less digits than its factorization.

12121120121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560757 (or 560747 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12121120121112 its reverse (21112102112121), we get a palindrome (33233222233233).

The spelling of 12121120121112 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 130399 260798 391197 430343 521596 782394 860686 1043192 1173591 1291029 1564788 1721372 2347182 2582058 3129576 3442744 3520773 3873087 4694364 5164116 7041546 7746174 9388728 10328232 11619261 14083092 15492348 23238522 28166184 30984696 46477044 92954088 56116296857 112232593714 168348890571 224465187428 336697781142 448930374856 505046671713 673395562284 1010093343426 1346791124568 1515140015139 2020186686852 3030280030278 4040373373704 6060560060556 12121120121112