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121112221212 = 223237433735669
BaseRepresentation
bin111000011001011011…
…0011101011000011100
3102120121112000022011200
41300302312131120130
53441014212034322
6131345503115500
711515162615563
oct1606266353034
9376545008150
10121112221212
11473aa767404
121b5802a2b90
13b561756928
145c0cd46bda
15323c9528ac
hex1c32d9d61c

121112221212 has 144 divisors (see below), whose sum is σ = 322650488160. Its totient is φ = 38256551424.

The previous prime is 121112221211. The next prime is 121112221259. The reversal of 121112221212 is 212122211121.

121112221212 is a `hidden beast` number, since 121 + 112 + 221 + 212 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121112221211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21361114 + ... + 21366782.

It is an arithmetic number, because the mean of its divisors is an integer number (2240628390).

Almost surely, 2121112221212 is an apocalyptic number.

121112221212 is a gapful number since it is divisible by the number (12) 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 121112221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161325244080).

121112221212 is an abundant number, since it is smaller than the sum of its proper divisors (201538266948).

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

121112221212 is a wasteful number, since it uses less digits than its factorization.

121112221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6132 (or 6127 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 121112221212 its reverse (212122211121), we get a palindrome (333234432333).

The spelling of 121112221212 in words is "one hundred twenty-one billion, one hundred twelve million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 43 74 86 111 129 148 172 222 258 333 373 387 444 516 666 746 774 1119 1332 1492 1548 1591 2238 3182 3357 4476 4773 5669 6364 6714 9546 11338 13428 13801 14319 16039 17007 19092 22676 27602 28638 32078 34014 41403 48117 51021 55204 57276 64156 68028 82806 96234 102042 124209 144351 165612 192468 204084 209753 243767 248418 288702 419506 487534 496836 577404 593443 629259 731301 839012 975068 1186886 1258518 1462602 1780329 1887777 2114537 2193903 2373772 2517036 2925204 3560658 3775554 4229074 4387806 5340987 6343611 7121316 7551108 8458148 8775612 9019379 10681974 12687222 18038758 19030833 21363948 25374444 27058137 36077516 38061666 54116274 76123332 78237869 81174411 90925091 108232548 156475738 162348822 181850182 234713607 272775273 312951476 324697644 363700364 469427214 545550546 704140821 818325819 938854428 1091101092 1408281642 1636651638 2816563284 3273303276 3364228367 6728456734 10092685101 13456913468 20185370202 30278055303 40370740404 60556110606 121112221212