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12333313120 = 255191403577
BaseRepresentation
bin10110111110001111…
…10110110001100000
31011211112022012222211
423133013312301200
5200224312004440
65355453411504
7614426301052
oct133707666140
934745265884
1012333313120
115259919767
122482499b94
13121722761b
1484ddc38d2
154c2b5eeea
hex2df1f6c60

12333313120 has 48 divisors (see below), whose sum is σ = 29290076928. Its totient is φ = 4907484160.

The previous prime is 12333313103. The next prime is 12333313123. The reversal of 12333313120 is 2131333321.

It is a super-2 number, since 2×123333131202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12333313091 and 12333313100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12333313123) 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 7 ways as a sum of consecutive naturals, for example, 171229 + ... + 232348.

It is an arithmetic number, because the mean of its divisors is an integer number (610209936).

Almost surely, 212333313120 is an apocalyptic number.

12333313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12333313120 is an abundant number, since it is smaller than the sum of its proper divisors (16956763808).

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

12333313120 is a wasteful number, since it uses less digits than its factorization.

12333313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403783 (or 403775 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 12333313120 its reverse (2131333321), we get a palindrome (14464646441).

The spelling of 12333313120 in words is "twelve billion, three hundred thirty-three million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 191 382 764 955 1528 1910 3056 3820 6112 7640 15280 30560 403577 807154 1614308 2017885 3228616 4035770 6457232 8071540 12914464 16143080 32286160 64572320 77083207 154166414 308332828 385416035 616665656 770832070 1233331312 1541664140 2466662624 3083328280 6166656560 12333313120