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120131332000 = 2553127236479
BaseRepresentation
bin110111111100001100…
…0101010011110100000
3102111002011021222010121
41233320120222132200
53432012110111000
6131104303210024
711451652321351
oct1577030523640
9374064258117
10120131332000
1146a47006869
121b3478a6914
13b43647b204
145b58971d28
1531d1798b1a
hex1bf862a7a0

120131332000 has 96 divisors (see below), whose sum is σ = 297488056320. Its totient is φ = 47673964800.

The previous prime is 120131331973. The next prime is 120131332019. The reversal of 120131332000 is 233131021.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389761 + ... + 626239.

It is an arithmetic number, because the mean of its divisors is an integer number (3098833920).

Almost surely, 2120131332000 is an apocalyptic number.

120131332000 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 120131332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148744028160).

120131332000 is an abundant number, since it is smaller than the sum of its proper divisors (177356724320).

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

120131332000 is a wasteful number, since it uses less digits than its factorization.

120131332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236631 (or 236613 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 120131332000 its reverse (233131021), we get a palindrome (120364463021).

The spelling of 120131332000 in words is "one hundred twenty billion, one hundred thirty-one million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 127 160 200 250 254 400 500 508 635 800 1000 1016 1270 2000 2032 2540 3175 4000 4064 5080 6350 10160 12700 15875 20320 25400 31750 50800 63500 101600 127000 236479 254000 472958 508000 945916 1182395 1891832 2364790 3783664 4729580 5911975 7567328 9459160 11823950 18918320 23647900 29559875 30032833 37836640 47295800 59119750 60065666 94591600 118239500 120131332 150164165 189183200 236479000 240262664 300328330 472958000 480525328 600656660 750820825 945916000 961050656 1201313320 1501641650 2402626640 3003283300 3754104125 4805253280 6006566600 7508208250 12013133200 15016416500 24026266400 30032833000 60065666000 120131332000