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12420215300 = 22521747359433
BaseRepresentation
bin10111001000100110…
…10111001000000100
31012001120211022101002
423210103113020010
5200414033342200
65412240152432
7616533042143
oct134423271004
935046738332
1012420215300
1152a3984649
1224a7608718
13122c23352c
1485b76575a
154ca5c8bd5
hex2e44d7204

12420215300 has 144 divisors (see below), whose sum is σ = 29293125120. Its totient is φ = 4553072640.

The previous prime is 12420215299. The next prime is 12420215341. The reversal of 12420215300 is 351202421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28683884 + ... + 28684316.

It is an arithmetic number, because the mean of its divisors is an integer number (203424480).

Almost surely, 212420215300 is an apocalyptic number.

12420215300 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 12420215300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14646562560).

12420215300 is an abundant number, since it is smaller than the sum of its proper divisors (16872909820).

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

12420215300 is a wasteful number, since it uses less digits than its factorization.

12420215300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 12420215300 its reverse (351202421), we get a palindrome (12771417721).

The spelling of 12420215300 in words is "twelve billion, four hundred twenty million, two hundred fifteen thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 47 50 68 85 94 100 170 188 235 340 359 425 433 470 718 799 850 866 940 1175 1436 1598 1700 1732 1795 2165 2350 3196 3590 3995 4330 4700 6103 7180 7361 7990 8660 8975 10825 12206 14722 15980 16873 17950 19975 20351 21650 24412 29444 30515 33746 35900 36805 39950 40702 43300 61030 67492 73610 79900 81404 84365 101755 122060 147220 152575 155447 168730 184025 203510 286841 305150 310894 337460 345967 368050 407020 421825 508775 573682 610300 621788 691934 736100 777235 843650 1017550 1147364 1383868 1434205 1554470 1687300 1729835 2035100 2642599 2868410 3108940 3459670 3886175 5285198 5736820 6919340 7171025 7306009 7772350 8649175 10570396 13212995 14342050 14612018 15544700 17298350 26425990 28684100 29224036 34596700 36530045 52851980 66064975 73060090 124202153 132129950 146120180 182650225 248404306 264259900 365300450 496808612 621010765 730600900 1242021530 2484043060 3105053825 6210107650 12420215300