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1332433123120 = 245111741869689
BaseRepresentation
bin10011011000111011001…
…100111111011100110000
311201101020112222211001101
4103120323030333130300
5133312310334414440
62500040014014144
7165156635450551
oct23307314773460
94641215884041
101332433123120
11474099841680
121962991a7354
13988565a4858
14486c0bd6328
15249d646969a
hex1363b33f730

1332433123120 has 80 divisors (see below), whose sum is σ = 3381479955360. Its totient is φ = 484242278400.

The previous prime is 1332433123117. The next prime is 1332433123121. The reversal of 1332433123120 is 213213342331.

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

It is not an unprimeable number, because it can be changed into a prime (1332433123121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1097236 + ... + 1966924.

It is an arithmetic number, because the mean of its divisors is an integer number (42268499442).

Almost surely, 21332433123120 is an apocalyptic number.

1332433123120 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 1332433123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690739977680).

1332433123120 is an abundant number, since it is smaller than the sum of its proper divisors (2049046832240).

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

1332433123120 is a wasteful number, since it uses less digits than its factorization.

1332433123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871454 (or 871448 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 1332433123120 its reverse (213213342331), we get a palindrome (1545646465451).

The spelling of 1332433123120 in words is "one trillion, three hundred thirty-two billion, four hundred thirty-three million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1741 3482 6964 8705 13928 17410 19151 27856 34820 38302 69640 76604 95755 139280 153208 191510 306416 383020 766040 869689 1532080 1739378 3478756 4348445 6957512 8696890 9566579 13915024 17393780 19133158 34787560 38266316 47832895 69575120 76532632 95665790 153065264 191331580 382663160 765326320 1514128549 3028257098 6056514196 7570642745 12113028392 15141285490 16655414039 24226056784 30282570980 33310828078 60565141960 66621656156 83277070195 121130283920 133243312312 166554140390 266486624624 333108280780 666216561560 1332433123120