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122002122120200 = 23527419207981797
BaseRepresentation
bin11011101111010111010101…
…001001101001110000001000
3120222222021210122202202112222
4123233113111021221300020
5111442340321230321300
61111251000130153212
734461235214335460
oct3357272511516010
9528867718682488
10122002122120200
113596789a391343
12118249b3a22808
13530c99b52536a
14221ad116c6ba0
15e1884dab9785
hex6ef5d5269c08

122002122120200 has 96 divisors (see below), whose sum is σ = 324950761195200. Its totient is φ = 41729467549440.

The previous prime is 122002122120199. The next prime is 122002122120253. The reversal of 122002122120200 is 2021221200221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103404299 + ... + 104577498.

It is an arithmetic number, because the mean of its divisors is an integer number (3384903762450).

Almost surely, 2122002122120200 is an apocalyptic number.

122002122120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122002122120200 is an abundant number, since it is smaller than the sum of its proper divisors (202948639075000).

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

122002122120200 is a wasteful number, since it uses less digits than its factorization.

122002122120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207982239 (or 207982230 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122002122120200 its reverse (2021221200221), we get a palindrome (124023343320421).

The spelling of 122002122120200 in words is "one hundred twenty-two trillion, two billion, one hundred twenty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 419 700 838 1400 1676 2095 2933 3352 4190 5866 8380 10475 11732 14665 16760 20950 23464 29330 41900 58660 73325 83800 117320 146650 293300 586600 207981797 415963594 831927188 1039908985 1455872579 1663854376 2079817970 2911745158 4159635940 5199544925 5823490316 7279362895 8319271880 10399089850 11646980632 14558725790 20798179700 29117451580 36396814475 41596359400 58234903160 72793628950 87144372943 145587257900 174288745886 291174515800 348577491772 435721864715 610010610601 697154983544 871443729430 1220021221202 1742887458860 2178609323575 2440042442404 3050053053005 3485774917720 4357218647150 4880084884808 6100106106010 8714437294300 12200212212020 15250265265025 17428874588600 24400424424040 30500530530050 61001061060100 122002122120200