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12220021100 = 2252750934297
BaseRepresentation
bin10110110000101111…
…01011100101101100
31011112122010101120002
423120113223211230
5200011311133400
65340325243432
7611552315450
oct133027534554
934478111502
1012220021100
1152009797a1
122450563578
1311c990ba21
1483cd32660
154b7c31ed5
hex2d85eb96c

12220021100 has 72 divisors (see below), whose sum is σ = 30366077280. Its totient is φ = 4181368320.

The previous prime is 12220021067. The next prime is 12220021109. The reversal of 12220021100 is 112002221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12220021109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339152 + ... + 373448.

Almost surely, 212220021100 is an apocalyptic number.

12220021100 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 12220021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15183038640).

12220021100 is an abundant number, since it is smaller than the sum of its proper divisors (18146056180).

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

12220021100 is a wasteful number, since it uses less digits than its factorization.

12220021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34827 (or 34820 counting only the distinct ones).

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

Adding to 12220021100 its reverse (112002221), we get a palindrome (12332023321).

The spelling of 12220021100 in words is "twelve billion, two hundred twenty million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 509 700 1018 2036 2545 3563 5090 7126 10180 12725 14252 17815 25450 34297 35630 50900 68594 71260 89075 137188 171485 178150 240079 342970 356300 480158 685940 857425 960316 1200395 1714850 2400790 3429700 4801580 6001975 12003950 17457173 24007900 34914346 69828692 87285865 122200211 174571730 244400422 349143460 436429325 488800844 611001055 872858650 1222002110 1745717300 2444004220 3055005275 6110010550 12220021100