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112121002000120 = 23529166358121489
BaseRepresentation
bin11001011111100100110100…
…011111101111111011111000
3112200222122220102000010100011
4121133210310133233323320
5104143442303003000440
61034243402141351304
732421321644201311
oct3137446437577370
9480878812003304
10112121002000120
11327a8282705673
12106a9974868534
134a73c714aa569
141d98984c45608
15ce67d061e9ea
hex65f9347efef8

112121002000120 has 64 divisors (see below), whose sum is σ = 261128230272000. Its totient is φ = 43275865049088.

The previous prime is 112121002000109. The next prime is 112121002000159. The reversal of 112121002000120 is 21000200121211.

It is a super-2 number, since 2×1121210020001202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112121002000120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27131665 + ... + 30989824.

It is an arithmetic number, because the mean of its divisors is an integer number (4080128598000).

Almost surely, 2112121002000120 is an apocalyptic number.

112121002000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121002000120 is an abundant number, since it is smaller than the sum of its proper divisors (149007228271880).

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

112121002000120 is a wasteful number, since it uses less digits than its factorization.

112121002000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58123192 (or 58123188 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112121002000120 its reverse (21000200121211), we get a palindrome (133121202121331).

The spelling of 112121002000120 in words is "one hundred twelve trillion, one hundred twenty-one billion, two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1663 3326 6652 8315 13304 16630 33260 48227 66520 96454 192908 241135 385816 482270 964540 1929080 58121489 116242978 232485956 290607445 464971912 581214890 1162429780 1685523181 2324859560 3371046362 6742092724 8427615905 13484185448 16855231810 33710463620 67420927240 96656036207 193312072414 386624144828 483280181035 773248289656 966560362070 1933120724140 2803025050003 3866241448280 5606050100006 11212100200012 14015125250015 22424200400024 28030250500030 56060501000060 112121002000120