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20020002012120 = 23351131489247361
BaseRepresentation
bin1001000110101010001010…
…00110111011101111011000
32121212220010100210000000110
410203111011012323233120
510111001431003341440
6110325021214404320
74134253212226005
oct443250506735730
977786110700013
1020020002012120
116419487240870
1222b40162006a0
13b22b55214476
144d2d8a9088ac
1524ab75d9d080
hex1235451bbbd8

20020002012120 has 128 divisors (see below), whose sum is σ = 67633555322880. Its totient is φ = 4696774656000.

The previous prime is 20020002012119. The next prime is 20020002012121. The reversal of 20020002012120 is 2121020002002.

It is an interprime number because it is at equal distance from previous prime (20020002012119) and next prime (20020002012121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20020002012096 and 20020002012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020002012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244582761 + ... + 244664600.

It is an arithmetic number, because the mean of its divisors is an integer number (528387150960).

Almost surely, 220020002012120 is an apocalyptic number.

20020002012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020002012120 is an abundant number, since it is smaller than the sum of its proper divisors (47613553310760).

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

20020002012120 is a wasteful number, since it uses less digits than its factorization.

20020002012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489247417 (or 489247413 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20020002012120 its reverse (2121020002002), we get a palindrome (22141022014122).

The spelling of 20020002012120 in words is "twenty trillion, twenty billion, two million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 155 165 186 220 248 264 310 330 341 372 440 465 620 660 682 744 930 1023 1240 1320 1364 1705 1860 2046 2728 3410 3720 4092 5115 6820 8184 10230 13640 20460 40920 489247361 978494722 1467742083 1956989444 2446236805 2935484166 3913978888 4892473610 5381720971 5870968332 7338710415 9784947220 10763441942 11741936664 14677420830 15166668191 16145162913 19569894440 21526883884 26908604855 29354841660 30333336382 32290325826 43053767768 45500004573 53817209710 58709683320 60666672764 64580651652 75833340955 80725814565 91000009146 107634419420 121333345528 129161303304 151666681910 161451629130 166833350101 182000018292 215268838840 227500022865 303333363820 322903258260 333666700202 364000036584 455000045730 500500050303 606666727640 645806516520 667333400404 834166750505 910000091460 1001000100606 1334666800808 1668333501010 1820000182920 2002000201212 2502500251515 3336667002020 4004000402424 5005000503030 6673334004040 10010001006060 20020002012120