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120200021201112 = 233367401111730467
BaseRepresentation
bin11011010101001000111111…
…100100001101000011011000
3120202121000021010221211220020
4123111020333210031003120
5111223324120411413422
61103351043305230440
734214110402302036
oct3325107744150330
9522530233854806
10120200021201112
11353325a73a6096
121159369ba92420
13520ba75c5cb88
1421979d7cad556
15dd6a298b695c
hex6d523f90d0d8

120200021201112 has 128 divisors (see below), whose sum is σ = 302350626339840. Its totient is φ = 39820865587200.

The previous prime is 120200021201111. The next prime is 120200021201129. The reversal of 120200021201112 is 211102120002021.

It is a junction number, because it is equal to n+sod(n) for n = 120200021201091 and 120200021201100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120200021201111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3945237703 + ... + 3945268169.

It is an arithmetic number, because the mean of its divisors is an integer number (2362114268280).

Almost surely, 2120200021201112 is an apocalyptic number.

120200021201112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120200021201112 is an abundant number, since it is smaller than the sum of its proper divisors (182150605138728).

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

120200021201112 is a wasteful number, since it uses less digits than its factorization.

120200021201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32361 (or 32357 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120200021201112 its reverse (211102120002021), we get a palindrome (331302141203133).

The spelling of 120200021201112 in words is "one hundred twenty trillion, two hundred billion, twenty-one million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 367 401 734 802 1101 1117 1203 1468 1604 2202 2234 2406 2936 3208 3351 4404 4468 4812 6702 8808 8936 9624 13404 26808 30467 60934 91401 121868 147167 182802 243736 294334 365604 409939 441501 447917 588668 731208 819878 883002 895834 1177336 1229817 1343751 1639756 1766004 1791668 2459634 2687502 3279512 3532008 3583336 4919268 5375004 9838536 10750008 11181389 12217267 22362778 24434534 33544167 34031639 36651801 44725556 48869068 67088334 68063278 73303602 89451112 97738136 102094917 134176668 136126556 146607204 164385539 204189834 268353336 272253112 293214408 328771078 408379668 493156617 657542156 816759336 986313234 1315084312 1972626468 3945252936 4483736989 8967473978 12489611513 13451210967 13646687239 17934947956 24979223026 26902421934 27293374478 35869895912 37468834539 40940061717 49958446052 53804843868 54586748956 74937669078 81880123434 99916892104 107609687736 109173497912 149875338156 163760246868 299750676312 327520493736 5008334216713 10016668433426 15025002650139 20033336866852 30050005300278 40066673733704 60100010600556 120200021201112