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12120222000 = 243532020037
BaseRepresentation
bin10110100100110101…
…11110100100110000
31011021200100001221010
423102122332210300
5144310234101000
65322402230520
7606231121125
oct132232764460
934250301833
1012120222000
11515a6051a7
122423055440
1311b20387c3
1482d99474c
154ae0bbd50
hex2d26be930

12120222000 has 80 divisors (see below), whose sum is σ = 39075615072. Its totient is φ = 3232057600.

The previous prime is 12120221989. The next prime is 12120222019. The reversal of 12120222000 is 22202121.

12120222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1004019 + ... + 1016018.

Almost surely, 212120222000 is an apocalyptic number.

12120222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120222000 is an abundant number, since it is smaller than the sum of its proper divisors (26955393072).

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

12120222000 is a wasteful number, since it uses less digits than its factorization.

12120222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020063 (or 2020047 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12120222000 its reverse (22202121), we get a palindrome (12142424121).

The spelling of 12120222000 in words is "twelve billion, one hundred twenty million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 2020037 4040074 6060111 8080148 10100185 12120222 16160296 20200370 24240444 30300555 32320592 40400740 48480888 50500925 60601110 80801480 96961776 101001850 121202220 151502775 161602960 202003700 242404440 252504625 303005550 404007400 484808880 505009250 606011100 757513875 808014800 1010018500 1212022200 1515027750 2020037000 2424044400 3030055500 4040074000 6060111000 12120222000