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12033323120 = 2457131652929
BaseRepresentation
bin10110011010011110…
…11111000001110000
31011001121211011002002
423031033133001300
5144121012314440
65310015513132
7604124362460
oct131517370160
934047734062
1012033323120
115115551845
1223b9b287a8
13119a031250
14822213ba0
154a6654115
hex2cd3df070

12033323120 has 80 divisors (see below), whose sum is σ = 34433837760. Its totient is φ = 3808346112.

The previous prime is 12033323083. The next prime is 12033323153. The reversal of 12033323120 is 2132333021.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12033323092 and 12033323101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 819185 + ... + 833744.

It is an arithmetic number, because the mean of its divisors is an integer number (430422972).

Almost surely, 212033323120 is an apocalyptic number.

12033323120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12033323120 is an abundant number, since it is smaller than the sum of its proper divisors (22400514640).

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

12033323120 is a wasteful number, since it uses less digits than its factorization.

12033323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652962 (or 1652956 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12033323120 its reverse (2132333021), we get a palindrome (14165656141).

Subtracting from 12033323120 its reverse (2132333021), we obtain a palindrome (9900990099).

The spelling of 12033323120 in words is "twelve billion, thirty-three million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 1652929 3305858 6611716 8264645 11570503 13223432 16529290 21488077 23141006 26446864 33058580 42976154 46282012 57852515 66117160 85952308 92564024 107440385 115705030 132234320 150416539 171904616 185128048 214880770 231410060 300833078 343809232 429761540 462820120 601666156 752082695 859523080 925640240 1203332312 1504165390 1719046160 2406664624 3008330780 6016661560 12033323120