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12210120302100 = 22352722356945823
BaseRepresentation
bin1011000110101110001111…
…1000100001111000010100
31121020021110021111101212120
42301223203320201320110
53100022311244131400
641545130221215540
72400103110061320
oct261534370417024
947207407441776
1012210120302100
113988312658836
1214524a07015b0
136a75425ca7a6
14302d89bba980
1516292eab7ca0
hexb1ae3e21e14

12210120302100 has 288 divisors, whose sum is σ = 40628012974080. Its totient is φ = 2773426037760.

The previous prime is 12210120302077. The next prime is 12210120302129. The reversal of 12210120302100 is 120302101221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12210120302100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 266439789 + ... + 266485611.

Almost surely, 212210120302100 is an apocalyptic number.

12210120302100 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 12210120302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20314006487040).

12210120302100 is an abundant number, since it is smaller than the sum of its proper divisors (28417892671980).

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

12210120302100 is a wasteful number, since it uses less digits than its factorization.

12210120302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46639 (or 46632 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12210120302100 its reverse (120302101221), we get a palindrome (12330422403321).

The spelling of 12210120302100 in words is "twelve trillion, two hundred ten billion, one hundred twenty million, three hundred two thousand, one hundred".