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122012200000200 = 23352266083764249
BaseRepresentation
bin11011101111100000101101…
…110101101101101011001000
3121000000020211000002002221210
4123233200231311231223020
5111443021441200001300
61111255344134133120
734462043026034016
oct3357405565555310
9530006730062853
10122012200000200
11359710a1059794
1211826946ab11a0
1353109163acc73
14221b5c9d1d8b6
15e18c3d70d050
hex6ef82dd6dac8

122012200000200 has 96 divisors (see below), whose sum is σ = 378239736420000. Its totient is φ = 32536421813760.

The previous prime is 122012200000189. The next prime is 122012200000247. The reversal of 122012200000200 is 2000002210221.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 159267676 + ... + 160031924.

It is an arithmetic number, because the mean of its divisors is an integer number (3939997254375).

Almost surely, 2122012200000200 is an apocalyptic number.

122012200000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122012200000200 is an abundant number, since it is smaller than the sum of its proper divisors (256227536419800).

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

122012200000200 is a wasteful number, since it uses less digits than its factorization.

122012200000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030351 (or 1030342 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122012200000200 its reverse (2000002210221), we get a palindrome (124012202210421).

The spelling of 122012200000200 in words is "one hundred twenty-two trillion, twelve billion, two hundred million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 266083 532166 764249 798249 1064332 1330415 1528498 1596498 2128664 2292747 2660830 3056996 3192996 3821245 3991245 4585494 5321660 6113992 6385992 6652075 7642490 7982490 9170988 10643320 11463735 13304150 15284980 15964980 18341976 19106225 19956225 22927470 26608300 30569960 31929960 38212450 39912450 45854940 53216600 57318675 76424900 79824900 91709880 114637350 152849800 159649800 229274700 458549400 203353666667 406707333334 610061000001 813414666668 1016768333335 1220122000002 1626829333336 2033536666670 2440244000004 3050305000005 4067073333340 4880488000008 5083841666675 6100610000010 8134146666680 10167683333350 12201220000020 15251525000025 20335366666700 24402440000040 30503050000050 40670733333400 61006100000100 122012200000200