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12222030300 = 22352411377253
BaseRepresentation
bin10110110000111110…
…10110000111011100
31011112202220110122220
423120133112013130
5200012314432200
65340440305340
7611605354254
oct133037260734
934482813586
1012222030300
115202021297
122451172250
1311ca1633bc
1483d2d6964
154b7ecc4a0
hex2d87d61dc

12222030300 has 144 divisors (see below), whose sum is σ = 36494351712. Its totient is φ = 3156070400.

The previous prime is 12222030277. The next prime is 12222030319. The reversal of 12222030300 is 303022221.

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 12222030300.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1681474 + ... + 1688726.

It is an arithmetic number, because the mean of its divisors is an integer number (253432998).

Almost surely, 212222030300 is an apocalyptic number.

12222030300 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 12222030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18247175856).

12222030300 is an abundant number, since it is smaller than the sum of its proper divisors (24272321412).

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

12222030300 is a wasteful number, since it uses less digits than its factorization.

12222030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7448 (or 7441 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12222030300 its reverse (303022221), we get a palindrome (12525052521).

The spelling of 12222030300 in words is "twelve billion, two hundred twenty-two million, thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 137 150 164 205 246 274 300 410 411 492 548 615 685 820 822 1025 1230 1370 1644 2050 2055 2460 2740 3075 3425 4100 4110 5617 6150 6850 7253 8220 10275 11234 12300 13700 14506 16851 20550 21759 22468 28085 29012 33702 36265 41100 43518 56170 67404 72530 84255 87036 108795 112340 140425 145060 168510 181325 217590 280850 297373 337020 362650 421275 435180 543975 561700 594746 725300 842550 892119 993661 1087950 1189492 1486865 1685100 1784238 1987322 2175900 2973730 2980983 3568476 3974644 4460595 4968305 5947460 5961966 7434325 8921190 9936610 11923932 14868650 14904915 17842380 19873220 22302975 24841525 29737300 29809830 40740101 44605950 49683050 59619660 74524575 81480202 89211900 99366100 122220303 149049150 162960404 203700505 244440606 298098300 407401010 488881212 611101515 814802020 1018502525 1222203030 2037005050 2444406060 3055507575 4074010100 6111015150 12222030300