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12120221000 = 235332593719
BaseRepresentation
bin10110100100110101…
…11110010101001000
31011021200100000120002
423102122332111020
5144310234033000
65322402222132
7606231115166
oct132232762510
934250300502
1012120221000
11515a604478
122423054948
1311b2038204
1482d994236
154ae0bb8d5
hex2d26be548

12120221000 has 64 divisors (see below), whose sum is σ = 28377648000. Its totient is φ = 4845297600.

The previous prime is 12120220993. The next prime is 12120221039. The reversal of 12120221000 is 12202121.

It is a happy number.

12120221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3257141 + ... + 3260859.

It is an arithmetic number, because the mean of its divisors is an integer number (443400750).

Almost surely, 212120221000 is an apocalyptic number.

12120221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120221000 is an abundant number, since it is smaller than the sum of its proper divisors (16257427000).

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

12120221000 is a wasteful number, since it uses less digits than its factorization.

12120221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999 (or 6985 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12120221000 its reverse (12202121), we get a palindrome (12132423121).

The spelling of 12120221000 in words is "twelve billion, one hundred twenty million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 3259 3719 6518 7438 13036 14876 16295 18595 26072 29752 32590 37190 65180 74380 81475 92975 130360 148760 162950 185950 325900 371900 407375 464875 651800 743800 814750 929750 1629500 1859500 3259000 3719000 12120221 24240442 48480884 60601105 96961768 121202210 242404420 303005525 484808840 606011050 1212022100 1515027625 2424044200 3030055250 6060110500 12120221000