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120212332000 = 2553116325841
BaseRepresentation
bin110111111110100110…
…1101001110111100000
3102111021210201012020121
41233331031221313200
53432143324111000
6131120315250024
711453654651065
oct1577515516740
9374253635217
10120212332000
1146a88800312
121b36aa49914
13b44a19b7c7
145b65618c6c
1531d8948b1a
hex1bfd369de0

120212332000 has 96 divisors (see below), whose sum is σ = 295627104864. Its totient is φ = 48041728000.

The previous prime is 120212331923. The next prime is 120212332007. The reversal of 120212332000 is 233212021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120212332007) 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, 4639080 + ... + 4664920.

It is an arithmetic number, because the mean of its divisors is an integer number (3079449009).

Almost surely, 2120212332000 is an apocalyptic number.

120212332000 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 120212332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147813552432).

120212332000 is an abundant number, since it is smaller than the sum of its proper divisors (175414772864).

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

120212332000 is a wasteful number, since it uses less digits than its factorization.

120212332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27029 (or 27011 counting only the distinct ones).

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

Adding to 120212332000 its reverse (233212021), we get a palindrome (120445544021).

The spelling of 120212332000 in words is "one hundred twenty billion, two hundred twelve million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1163 2000 2326 4000 4652 5815 9304 11630 18608 23260 25841 29075 37216 46520 51682 58150 93040 103364 116300 129205 145375 186080 206728 232600 258410 290750 413456 465200 516820 581500 646025 826912 930400 1033640 1163000 1292050 2067280 2326000 2584100 3230125 4134560 4652000 5168200 6460250 10336400 12920500 20672800 25841000 30053083 51682000 60106166 103364000 120212332 150265415 240424664 300530830 480849328 601061660 751327075 961698656 1202123320 1502654150 2404246640 3005308300 3756635375 4808493280 6010616600 7513270750 12021233200 15026541500 24042466400 30053083000 60106166000 120212332000