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12230120312100 = 22325228151482719
BaseRepresentation
bin1011000111111000101111…
…1110100000110100100100
31121022012002010001011211200
42301332023332200310210
53100334241244441400
642002234551002500
72401411532256345
oct261761376406444
947265063034750
1012230120312100
113995846094319
121456342669430
136a93abca9b32
14303d260a60cc
15163200836b00
hexb1f8bfa0d24

12230120312100 has 108 divisors (see below), whose sum is σ = 38336073834240. Its totient is φ = 3261242808000.

The previous prime is 12230120312093. The next prime is 12230120312119. The reversal of 12230120312100 is 121302103221.

12230120312100 is a `hidden beast` number, since 1 + 2 + 230 + 1 + 20 + 312 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 25094541 + ... + 25577259.

Almost surely, 212230120312100 is an apocalyptic number.

12230120312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12230120312100 is an abundant number, since it is smaller than the sum of its proper divisors (26105953522140).

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

12230120312100 is a wasteful number, since it uses less digits than its factorization.

12230120312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510890 (or 510880 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12230120312100 its reverse (121302103221), we get a palindrome (12351422415321).

The spelling of 12230120312100 in words is "twelve trillion, two hundred thirty billion, one hundred twenty million, three hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 28151 56302 84453 112604 140755 168906 253359 281510 337812 422265 482719 506718 563020 703775 844530 965438 1013436 1266795 1407550 1448157 1689060 1930876 2111325 2413595 2533590 2815100 2896314 4222650 4344471 4827190 5067180 5792628 6333975 7240785 8445300 8688942 9654380 12067975 12667950 14481570 17377884 21722355 24135950 25335900 28963140 36203925 43444710 48271900 72407850 86889420 108611775 144815700 217223550 434447100 13589022569 27178045138 40767067707 54356090276 67945112845 81534135414 122301203121 135890225690 163068270828 203835338535 244602406242 271780451380 339725564225 407670677070 489204812484 611506015605 679451128450 815341354140 1019176692675 1223012031210 1358902256900 2038353385350 2446024062420 3057530078025 4076706770700 6115060156050 12230120312100