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122233321320 = 233511412258561
BaseRepresentation
bin111000111010110101…
…1000111011101101000
3102200111122120002101220
41301311223013131220
54000313212240240
6132053032142040
711555025042165
oct1616553073550
9380448502356
10122233321320
1147925583520
121b833837920
13b6acab4686
145cb7bb906c
1532a60a55d0
hex1c75ac7768

122233321320 has 128 divisors (see below), whose sum is σ = 409793489280. Its totient is φ = 28909568000.

The previous prime is 122233321291. The next prime is 122233321363. The reversal of 122233321320 is 23123332221.

122233321320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1075161 + ... + 1183400.

It is an arithmetic number, because the mean of its divisors is an integer number (3201511635).

Almost surely, 2122233321320 is an apocalyptic number.

122233321320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122233321320 is an abundant number, since it is smaller than the sum of its proper divisors (287560167960).

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

122233321320 is a wasteful number, since it uses less digits than its factorization.

122233321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258627 (or 2258623 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 122233321320 its reverse (23123332221), we get a palindrome (145356653541).

The spelling of 122233321320 in words is "one hundred twenty-two billion, two hundred thirty-three million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 41 44 55 60 66 82 88 110 120 123 132 164 165 205 220 246 264 328 330 410 440 451 492 615 660 820 902 984 1230 1320 1353 1640 1804 2255 2460 2706 3608 4510 4920 5412 6765 9020 10824 13530 18040 27060 54120 2258561 4517122 6775683 9034244 11292805 13551366 18068488 22585610 24844171 27102732 33878415 45171220 49688342 54205464 67756830 74532513 90342440 92601001 99376684 124220855 135513660 149065026 185202002 198753368 248441710 271027320 277803003 298130052 370404004 372662565 463005005 496883420 555606006 596260104 740808008 745325130 926010010 993766840 1018611011 1111212012 1389015015 1490650260 1852020020 2037222022 2222424024 2778030030 2981300520 3055833033 3704040040 4074444044 5093055055 5556060060 6111666066 8148888088 10186110110 11112120120 12223332132 15279165165 20372220220 24446664264 30558330330 40744440440 61116660660 122233321320