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12333321120 = 253528390793
BaseRepresentation
bin10110111110001111…
…11000101110100000
31011211112022121222010
423133013320232200
5200224312233440
65355453512520
7614426333301
oct133707705640
934745277863
1012333321120
11525992477a
1224824a2740
13121722b163
1484ddc67a8
154c2b62580
hex2df1f8ba0

12333321120 has 96 divisors (see below), whose sum is σ = 38987669952. Its totient is φ = 3277228032.

The previous prime is 12333321113. The next prime is 12333321137. The reversal of 12333321120 is 2112333321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×123333211202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 90444 + ... + 181236.

It is an arithmetic number, because the mean of its divisors is an integer number (406121562).

Almost surely, 212333321120 is an apocalyptic number.

12333321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12333321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19493834976).

12333321120 is an abundant number, since it is smaller than the sum of its proper divisors (26654348832).

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

12333321120 is a wasteful number, since it uses less digits than its factorization.

12333321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91094 (or 91086 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12333321120 its reverse (2112333321), we get a palindrome (14445654441).

It can be divided in two parts, 123333 and 21120, that added together give a triangular number (144453 = T537).

The spelling of 12333321120 in words is "twelve billion, three hundred thirty-three million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 283 480 566 849 1132 1415 1698 2264 2830 3396 4245 4528 5660 6792 8490 9056 11320 13584 16980 22640 27168 33960 45280 67920 90793 135840 181586 272379 363172 453965 544758 726344 907930 1089516 1361895 1452688 1815860 2179032 2723790 2905376 3631720 4358064 5447580 7263440 8716128 10895160 14526880 21790320 25694419 43580640 51388838 77083257 102777676 128472095 154166514 205555352 256944190 308333028 385416285 411110704 513888380 616666056 770832570 822221408 1027776760 1233332112 1541665140 2055553520 2466664224 3083330280 4111107040 6166660560 12333321120