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12021211000 = 235331387781
BaseRepresentation
bin10110011001000010…
…10001111101111000
31011000210000210101001
423030201101331320
5144104412223000
65304504134344
7603616415251
oct131441217570
934023023331
1012021211000
115109729827
1223b5a673b4
131197680206
1482077db28
154a556046a
hex2cc851f78

12021211000 has 64 divisors (see below), whose sum is σ = 29037116160. Its totient is φ = 4653360000.

The previous prime is 12021210983. The next prime is 12021211117. The reversal of 12021211000 is 11212021.

12021211000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 162891 + ... + 224890.

It is an arithmetic number, because the mean of its divisors is an integer number (453704940).

Almost surely, 212021211000 is an apocalyptic number.

12021211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021211000 is an abundant number, since it is smaller than the sum of its proper divisors (17015905160).

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

12021211000 is a wasteful number, since it uses less digits than its factorization.

12021211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387833 (or 387819 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12021211000 its reverse (11212021), we get a palindrome (12032423021).

The spelling of 12021211000 in words is "twelve billion, twenty-one million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 775 1000 1240 1550 3100 3875 6200 7750 15500 31000 387781 775562 1551124 1938905 3102248 3877810 7755620 9694525 12021211 15511240 19389050 24042422 38778100 48084844 48472625 60106055 77556200 96169688 96945250 120212110 193890500 240424220 300530275 387781000 480848440 601060550 1202121100 1502651375 2404242200 3005302750 6010605500 12021211000