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122030122320 = 2434518831809
BaseRepresentation
bin111000110100110001…
…1111110010101010000
3102122222111012111210000
41301221203332111100
53444404202403240
6132020533010000
711550006632241
oct1615143762520
9378874174700
10122030122320
1147830906067
121b797783900
13b67997a292
145c98c02cc8
153293318430
hex1c698fe550

122030122320 has 100 divisors (see below), whose sum is σ = 423828715860. Its totient is φ = 32541364224.

The previous prime is 122030122301. The next prime is 122030122321. The reversal of 122030122320 is 23221030221.

122030122320 is a `hidden beast` number, since 1 + 2 + 20 + 301 + 22 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19420094736 + 102610027584 = 139356^2 + 320328^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 122030122293 and 122030122302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122030122321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9409425 + ... + 9422384.

Almost surely, 2122030122320 is an apocalyptic number.

122030122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122030122320 is an abundant number, since it is smaller than the sum of its proper divisors (301798593540).

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

122030122320 is a wasteful number, since it uses less digits than its factorization.

122030122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18831834 (or 18831819 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122030122320 its reverse (23221030221), we get a palindrome (145251152541).

The spelling of 122030122320 in words is "one hundred twenty-two billion, thirty million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 18831809 37663618 56495427 75327236 94159045 112990854 150654472 169486281 188318090 225981708 282477135 301308944 338972562 376636180 451963416 508458843 564954270 677945124 753272360 847431405 903926832 1016917686 1129908540 1355890248 1506544720 1525376529 1694862810 2033835372 2259817080 2542294215 2711780496 3050753058 3389725620 4067670744 4519634160 5084588430 6101506116 6779451240 7626882645 8135341488 10169176860 12203012232 13558902480 15253765290 20338353720 24406024464 30507530580 40676707440 61015061160 122030122320