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112121112221112 = 23367119361319533
BaseRepresentation
bin11001011111100100111011…
…000100001101010110111000
3112200222200012002101221010010
4121133210323010031112320
5104143443014212033422
61034243421120021520
732421324453103311
oct3137447304152670
9480880162357103
10112121112221112
11327a83299482a5
12106a99a57618a0
134a73c8b28c397
141d98995737608
15ce67da142b0c
hex65f93b10d5b8

112121112221112 has 128 divisors (see below), whose sum is σ = 284801179541760. Its totient is φ = 36775169756160.

The previous prime is 112121112221071. The next prime is 112121112221141. The reversal of 112121112221112 is 211122211121211.

It is a super-2 number, since 2×1121211122211122 (a number of 29 digits) contains 22 as substring.

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

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, 11761362298 + ... + 11761371830.

It is an arithmetic number, because the mean of its divisors is an integer number (2225009215170).

Almost surely, 2112121112221112 is an apocalyptic number.

112121112221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112121112221112 is an abundant number, since it is smaller than the sum of its proper divisors (172680067320648).

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

112121112221112 is a wasteful number, since it uses less digits than its factorization.

112121112221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16933 (or 16929 counting only the distinct ones).

The product of its digits is 64, while the sum is 21.

Adding to 112121112221112 its reverse (211122211121211), we get a palindrome (323243323342323).

The spelling of 112121112221112 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 1193 1608 2386 3579 4772 6131 7158 9533 9544 12262 14316 18393 19066 24524 28599 28632 36786 38132 49048 57198 73572 76264 79931 114396 147144 159862 228792 239793 319724 410777 479586 638711 639448 821554 959172 1232331 1277422 1643108 1916133 1918344 2464662 2554844 3286216 3832266 4929324 5109688 7314283 7664532 9858648 11372869 14628566 15329064 21942849 22745738 29257132 34118607 43885698 45491476 58446823 58514264 68237214 87771396 90982952 116893646 136474428 175340469 175542792 233787292 272948856 350680938 467574584 490056961 701361876 761982223 980113922 1402723752 1470170883 1523964446 1960227844 2285946669 2940341766 3047928892 3915937141 3920455688 4571893338 5880683532 6095857784 7831874282 9143786676 11747811423 11761367064 15663748564 18287573352 23495622846 31327497128 46991245692 69727059839 93982491384 139454119678 209181179517 278908239356 418362359034 557816478712 836724718068 1673449436136 4671713009213 9343426018426 14015139027639 18686852036852 28030278055278 37373704073704 56060556110556 112121112221112