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20021212120200 = 2335247709972061
BaseRepresentation
bin1001000110101100011010…
…01111001000010010001000
32121220000020200210212020020
410203112031033020102020
510111011420300321300
6110325341243300440
74134325205043624
oct443261517102210
977800220725206
1020021212120200
116419a48320995
1222b42b351a720
13b22cb8b37755
144d306350a184
1524abe72338a0
hex12358d3c8488

20021212120200 has 96 divisors (see below), whose sum is σ = 63386305695360. Its totient is φ = 5225394361600.

The previous prime is 20021212120181. The next prime is 20021212120207. The reversal of 20021212120200 is 202121212002.

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 20021212120200.

It is not an unprimeable number, because it can be changed into a prime (20021212120207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354957831 + ... + 355014230.

It is an arithmetic number, because the mean of its divisors is an integer number (660274017660).

Almost surely, 220021212120200 is an apocalyptic number.

20021212120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021212120200 is an abundant number, since it is smaller than the sum of its proper divisors (43365093575160).

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

20021212120200 is a wasteful number, since it uses less digits than its factorization.

20021212120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709972127 (or 709972118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20021212120200 its reverse (202121212002), we get a palindrome (20223333332202).

The spelling of 20021212120200 in words is "twenty trillion, twenty-one billion, two hundred twelve million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 141 150 188 200 235 282 300 376 470 564 600 705 940 1128 1175 1410 1880 2350 2820 3525 4700 5640 7050 9400 14100 28200 709972061 1419944122 2129916183 2839888244 3549860305 4259832366 5679776488 7099720610 8519664732 10649580915 14199441220 17039329464 17749301525 21299161830 28398882440 33368686867 35498603050 42598323660 53247904575 66737373734 70997206100 85196647320 100106060601 106495809150 133474747468 141994412200 166843434335 200212121202 212991618300 266949494936 333686868670 400424242404 425983236600 500530303005 667373737340 800848484808 834217171675 1001060606010 1334747474680 1668434343350 2002121212020 2502651515025 3336868686700 4004242424040 5005303030050 6673737373400 10010606060100 20021212120200