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12221230300 = 22521715147609
BaseRepresentation
bin10110110000111000…
…10010110011011100
31011112201101211021021
423120130102303130
5200012113332200
65340411213524
7611565513016
oct133034226334
934481354237
1012221230300
115201625234
122450a472a4
1311c9c43226
1483d1691b6
154b7dc041a
hex2d8712cdc

12221230300 has 72 divisors (see below), whose sum is σ = 28266628320. Its totient is φ = 4570368000.

The previous prime is 12221230291. The next prime is 12221230339. The reversal of 12221230300 is 303212221.

12221230300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 232896 + ... + 280504.

It is an arithmetic number, because the mean of its divisors is an integer number (392592060).

Almost surely, 212221230300 is an apocalyptic number.

12221230300 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 12221230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14133314160).

12221230300 is an abundant number, since it is smaller than the sum of its proper divisors (16045398020).

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

12221230300 is a wasteful number, since it uses less digits than its factorization.

12221230300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47791 (or 47784 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12221230300 its reverse (303212221), we get a palindrome (12524442521).

The spelling of 12221230300 in words is "twelve billion, two hundred twenty-one million, two hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 151 170 302 340 425 604 755 850 1510 1700 2567 3020 3775 5134 7550 10268 12835 15100 25670 47609 51340 64175 95218 128350 190436 238045 256700 476090 809353 952180 1190225 1618706 2380450 3237412 4046765 4760900 7188959 8093530 14377918 16187060 20233825 28755836 35944795 40467650 71889590 80935300 122212303 143779180 179723975 244424606 359447950 488849212 611061515 718895900 1222123030 2444246060 3055307575 6110615150 12221230300