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12023010320 = 245976192503
BaseRepresentation
bin10110011001010000…
…01001010000010000
31011000220102012120112
423030220021100100
5144110342312240
65305010500452
7603640621136
oct131450112020
934026365515
1012023010320
11510a748672
1223b6594728
131197b601b9
14820acb756
154a57b8665
hex2cca09410

12023010320 has 80 divisors (see below), whose sum is σ = 28298605440. Its totient is φ = 4750036992.

The previous prime is 12023010301. The next prime is 12023010331. The reversal of 12023010320 is 2301032021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12023010295 and 12023010304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4802189 + ... + 4804691.

It is an arithmetic number, because the mean of its divisors is an integer number (353732568).

Almost surely, 212023010320 is an apocalyptic number.

12023010320 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 12023010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14149302720).

12023010320 is an abundant number, since it is smaller than the sum of its proper divisors (16275595120).

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

12023010320 is a wasteful number, since it uses less digits than its factorization.

12023010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12023010320 its reverse (2301032021), we get a palindrome (14324042341).

The spelling of 12023010320 in words is "twelve billion, twenty-three million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 619 776 970 1238 1552 1940 2476 2503 3095 3880 4952 5006 6190 7760 9904 10012 12380 12515 20024 24760 25030 40048 49520 50060 60043 100120 120086 200240 240172 242791 300215 480344 485582 600430 960688 971164 1200860 1213955 1549357 1942328 2401720 2427910 3098714 3884656 4803440 4855820 6197428 7746785 9711640 12394856 15493570 19423280 24789712 30987140 61974280 123948560 150287629 300575258 601150516 751438145 1202301032 1502876290 2404602064 3005752580 6011505160 12023010320