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120301020210112 = 2672928193284719
BaseRepresentation
bin11011010110100111000011…
…100100110110001111000000
3120202221122221221102002212021
4123112213003210312033000
5111232002442133210422
61103505305320411224
734224314266563160
oct3326470344661700
9522848857362767
10120301020210112
1135371415738465
12115ab188316b14
1352184507206b1
14219c8598a05a0
15dd948b688dc7
hex6d69c39363c0

120301020210112 has 112 divisors (see below), whose sum is σ = 282333508992000. Its totient is φ = 49762058701824.

The previous prime is 120301020210097. The next prime is 120301020210113. The reversal of 120301020210112 is 211012020103021.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120301020210113) 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 15 ways as a sum of consecutive naturals, for example, 34982089 + ... + 38266807.

Almost surely, 2120301020210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120301020210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141166754496000).

120301020210112 is an abundant number, since it is smaller than the sum of its proper divisors (162032488781888).

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

120301020210112 is a wasteful number, since it uses less digits than its factorization.

120301020210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287586 (or 3287576 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 120301020210112 its reverse (211012020103021), we get a palindrome (331313040313133).

The spelling of 120301020210112 in words is "one hundred twenty trillion, three hundred one billion, twenty million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 2819 3248 5638 6496 11276 12992 19733 22552 39466 45104 78932 81751 90208 157864 163502 180416 315728 327004 572257 631456 654008 1144514 1262912 1308016 2289028 2616032 3284719 4578056 5232064 6569438 9156112 13138876 18312224 22993033 26277752 36624448 45986066 52555504 91972132 95256851 105111008 183944264 190513702 210222016 367888528 381027404 666797957 735777056 762054808 1333595914 1471554112 1524109616 2667191828 3048219232 5334383656 6096438464 9259622861 10668767312 18519245722 21337534624 37038491444 42675069248 64817360027 74076982888 129634720054 148153965776 259269440108 268529062969 296307931552 518538880216 537058125938 592615863104 1037077760432 1074116251876 1879703440783 2074155520864 2148232503752 3759406881566 4148311041728 4296465007504 7518813763132 8592930015008 15037627526264 17185860030016 30075255052528 60150510105056 120301020210112