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12033211301120 = 28517895254861
BaseRepresentation
bin1010111100011011001101…
…0010001111110100000000
31120121100211012000000011002
42233012303102033310000
53034123004043113440
641331551515311132
72351241123300212
oct257066322176400
946540735000132
1012033211301120
11391a29008a9a9
12142414a14b4a8
1369395b17c359
142d85a67145b2
1515d02892b115
hexaf1b348fd00

12033211301120 has 72 divisors (see below), whose sum is σ = 28839418336680. Its totient is φ = 4810593116160.

The previous prime is 12033211301099. The next prime is 12033211301143. The reversal of 12033211301120 is 2110311233021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5649786717184 + 6383424583936 = 2376928^2 + 2526544^2 .

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 = 12033211301092 and 12033211301101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 337511 + ... + 4917350.

Almost surely, 212033211301120 is an apocalyptic number.

12033211301120 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 12033211301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14419709168340).

12033211301120 is an abundant number, since it is smaller than the sum of its proper divisors (16806207035560).

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

12033211301120 is an equidigital number, since it uses as much as digits as its factorization.

12033211301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256671 (or 5256657 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12033211301120 its reverse (2110311233021), we get a palindrome (14143522534141).

The spelling of 12033211301120 in words is "twelve trillion, thirty-three billion, two hundred eleven million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1789 3578 7156 8945 14312 17890 28624 35780 57248 71560 114496 143120 228992 286240 457984 572480 1144960 2289920 5254861 10509722 21019444 26274305 42038888 52548610 84077776 105097220 168155552 210194440 336311104 420388880 672622208 840777760 1345244416 1681555520 3363111040 6726222080 9400946329 18801892658 37603785316 47004731645 75207570632 94009463290 150415141264 188018926580 300830282528 376037853160 601660565056 752075706320 1203321130112 1504151412640 2406642260224 3008302825280 6016605650560 12033211301120