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12122020300 = 225213291372347
BaseRepresentation
bin10110100101000011…
…10101100111001100
31011021210201102201211
423102201311213030
5144311214122200
65322504544204
7606252321025
oct132241654714
934253642654
1012122020300
1151606232a5
122423782064
1311b25181a0
1482dd01c4c
154ae324aba
hex2d28759cc

12122020300 has 144 divisors (see below), whose sum is σ = 29531547360. Its totient is φ = 4288112640.

The previous prime is 12122020283. The next prime is 12122020321. The reversal of 12122020300 is 302022121.

12122020300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121220203002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 47 ways as a sum of consecutive naturals, for example, 5163727 + ... + 5166073.

It is an arithmetic number, because the mean of its divisors is an integer number (205080190).

Almost surely, 212122020300 is an apocalyptic number.

12122020300 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 12122020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14765773680).

12122020300 is an abundant number, since it is smaller than the sum of its proper divisors (17409527060).

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

12122020300 is a wasteful number, since it uses less digits than its factorization.

12122020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12122020300 its reverse (302022121), we get a palindrome (12424042421).

The spelling of 12122020300 in words is "twelve billion, one hundred twenty-two million, twenty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 65 100 116 130 137 145 260 274 290 325 377 548 580 650 685 725 754 1300 1370 1450 1508 1781 1885 2347 2740 2900 3425 3562 3770 3973 4694 6850 7124 7540 7946 8905 9388 9425 11735 13700 15892 17810 18850 19865 23470 30511 35620 37700 39730 44525 46940 51649 58675 61022 68063 79460 89050 99325 103298 117350 122044 136126 152555 178100 198650 206596 234700 258245 272252 305110 321539 340315 397300 516490 610220 643078 680630 762775 884819 1032980 1286156 1291225 1361260 1525550 1607695 1701575 1769638 2582450 3051100 3215390 3403150 3539276 4180007 4424095 5164900 6430780 6806300 8038475 8360014 8848190 9324631 16076950 16720028 17696380 18649262 20900035 22120475 32153900 37298524 41800070 44240950 46623155 83600140 88481900 93246310 104500175 121220203 186492620 209000350 233115775 242440406 418000700 466231550 484880812 606101015 932463100 1212202030 2424404060 3030505075 6061010150 12122020300