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120102220001112 = 2333710710911596523
BaseRepresentation
bin11011010011101101111010…
…001010001110111101011000
3120202020122211012202010012120
4123103231322022032331120
5111220223321310013422
61103234110450141240
734204045654644126
oct3323557212167530
9522218735663176
10120102220001112
11352a507a14aa78
1211578746581820
13520278ab5182b
142192d9ac96916
15dd420370d45c
hex6d3b7a28ef58

120102220001112 has 128 divisors (see below), whose sum is σ = 314108087673600. Its totient is φ = 38234011350528.

The previous prime is 120102220001077. The next prime is 120102220001263. The reversal of 120102220001112 is 211100022201021.

It is a junction number, because it is equal to n+sod(n) for n = 120102220001091 and 120102220001100.

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, 4558483 + ... + 16155005.

It is an arithmetic number, because the mean of its divisors is an integer number (2453969434950).

Almost surely, 2120102220001112 is an apocalyptic number.

120102220001112 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 120102220001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157054043836800).

120102220001112 is an abundant number, since it is smaller than the sum of its proper divisors (194005867672488).

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

120102220001112 is a wasteful number, since it uses less digits than its factorization.

120102220001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11596785 (or 11596781 counting only the distinct ones).

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

Adding to 120102220001112 its reverse (211100022201021), we get a palindrome (331202242202133).

The spelling of 120102220001112 in words is "one hundred twenty trillion, one hundred two billion, two hundred twenty million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 107 109 111 148 214 218 222 296 321 327 428 436 444 642 654 856 872 888 1284 1308 2568 2616 3959 4033 7918 8066 11663 11877 12099 15836 16132 23326 23754 24198 31672 32264 34989 46652 47508 48396 69978 93304 95016 96792 139956 279912 431531 863062 1294593 1726124 2589186 3452248 5178372 10356744 11596523 23193046 34789569 46386092 69579138 92772184 139158276 278316552 429071351 858142702 1240827961 1264021007 1287214053 1716285404 2481655922 2528042014 2574428106 3432570808 3722483883 3792063021 4963311844 5056084028 5148856212 7444967766 7584126042 9926623688 10112168056 10297712424 14889935532 15168252084 29779871064 30336504168 45910634557 46768777259 91821269114 93537554518 135250247749 137731903671 140306331777 183642538228 187075109036 270500495498 275463807342 280612663554 367285076456 374150218072 405750743247 541000990996 550927614684 561225327108 811501486494 1082001981992 1101855229368 1122450654216 1623002972988 3246005945976 5004259166713 10008518333426 15012777500139 20017036666852 30025555000278 40034073333704 60051110000556 120102220001112