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12023012320 = 2551113152147
BaseRepresentation
bin10110011001010000…
…01001101111100000
31011000220102022022121
423030220021233200
5144110342343240
65305010514024
7603640630024
oct131450115740
934026368277
1012023012320
11510a74a120
1223b6595914
131197b61097
14820acc384
154a57b904a
hex2cca09be0

12023012320 has 96 divisors (see below), whose sum is σ = 31223719296. Its totient is φ = 4338547200.

The previous prime is 12023012269. The next prime is 12023012329. The reversal of 12023012320 is 2321032021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12023012294 and 12023012303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12023012329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204487 + ... + 256633.

It is an arithmetic number, because the mean of its divisors is an integer number (325247076).

Almost surely, 212023012320 is an apocalyptic number.

12023012320 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 12023012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15611859648).

12023012320 is an abundant number, since it is smaller than the sum of its proper divisors (19200706976).

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

12023012320 is a wasteful number, since it uses less digits than its factorization.

12023012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52304 (or 52296 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12023012320 its reverse (2321032021), we get a palindrome (14344044341).

The spelling of 12023012320 in words is "twelve billion, twenty-three million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 131 160 176 220 262 352 440 524 655 880 1048 1310 1441 1760 2096 2620 2882 4192 5240 5764 7205 10480 11528 14410 20960 23056 28820 46112 52147 57640 104294 115280 208588 230560 260735 417176 521470 573617 834352 1042940 1147234 1668704 2085880 2294468 2868085 4171760 4588936 5736170 6831257 8343520 9177872 11472340 13662514 18355744 22944680 27325028 34156285 45889360 54650056 68312570 75143827 91778720 109300112 136625140 150287654 218600224 273250280 300575308 375719135 546500560 601150616 751438270 1093001120 1202301232 1502876540 2404602464 3005753080 6011506160 12023012320