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212002000120020 = 223511231941979917
BaseRepresentation
bin110000001101000010001111…
…111010001010100011010100
31000210122012012220021210020010
4300031002033322022203110
5210241420044012320040
62030520212505040220
762440432124141655
oct6015021772124324
91023565186253203
10212002000120020
11616065a8206a00
121b93b4a8a86070
13913a91a168626
143a4cd470cd52c
1519799d2897e80
hexc0d08fe8a8d4

212002000120020 has 144 divisors (see below), whose sum is σ = 673523177209344. Its totient is φ = 49736539564800.

The previous prime is 212002000120013. The next prime is 212002000120063. The reversal of 212002000120020 is 20021000200212.

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 = 212002000119978 and 212002000120005.

It is a congruent number.

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, 470764899 + ... + 471215018.

It is an arithmetic number, because the mean of its divisors is an integer number (4677244286176).

Almost surely, 2212002000120020 is an apocalyptic number.

212002000120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002000120020 is an abundant number, since it is smaller than the sum of its proper divisors (461521177089324).

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

212002000120020 is a wasteful number, since it uses less digits than its factorization.

212002000120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941979982 (or 941979969 counting only the distinct ones).

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

Adding to 212002000120020 its reverse (20021000200212), we get a palindrome (232023000320232).

The spelling of 212002000120020 in words is "two hundred twelve trillion, two billion, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 121 124 132 155 165 186 220 242 310 330 341 363 372 465 484 605 620 660 682 726 930 1023 1210 1364 1452 1705 1815 1860 2046 2420 3410 3630 3751 4092 5115 6820 7260 7502 10230 11253 15004 18755 20460 22506 37510 45012 56265 75020 112530 225060 941979917 1883959834 2825939751 3767919668 4709899585 5651879502 9419799170 10361779087 11303759004 14129698755 18839598340 20723558174 28259397510 29201377427 31085337261 41447116348 51808895435 56518795020 58402754854 62170674522 87604132281 103617790870 113979569957 116805509708 124341349044 146006887135 155426686305 175208264562 207235581740 227959139914 292013774270 310853372610 321215151697 341938709871 350416529124 438020661405 455918279828 569897849785 584027548540 621706745220 642430303394 683877419742 876041322810 963645455091 1139795699570 1284860606788 1367754839484 1606075758485 1709693549355 1752082645620 1927290910182 2279591399140 3212151516970 3419387098710 3533366668667 3854581820364 4818227275455 6424303033940 6838774197420 7066733337334 9636454550910 10600100006001 14133466674668 17666833343335 19272909101820 21200200012002 35333666686670 42400400024004 53000500030005 70667333373340 106001000060010 212002000120020