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212122210212020 = 22562577207235199
BaseRepresentation
bin110000001110110010001100…
…111111010001100010110100
31000211001200111112210011202202
4300032302030333101202310
5210300402241303241040
62031051333104324032
762452216054103333
oct6016621477214264
91024050445704682
10212122210212020
1161652584717279
121b95a857013618
139149066a31694
143a54aac2c3d1a
15197cbbaeed015
hexc0ec8cfd18b4

212122210212020 has 48 divisors (see below), whose sum is σ = 445591548057600. Its totient is φ = 84823191565824.

The previous prime is 212122210211993. The next prime is 212122210212047. The reversal of 212122210212020 is 20212012221212.

It is an interprime number because it is at equal distance from previous prime (212122210211993) and next prime (212122210212047).

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

It is a junction number, because it is equal to n+sod(n) for n = 212122210211983 and 212122210212001.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 901766381 + ... + 902001579.

It is an arithmetic number, because the mean of its divisors is an integer number (9283157251200).

Almost surely, 2212122210212020 is an apocalyptic number.

212122210212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122210212020 is an abundant number, since it is smaller than the sum of its proper divisors (233469337845580).

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

212122210212020 is a wasteful number, since it uses less digits than its factorization.

212122210212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248672 (or 248670 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212122210212020 its reverse (20212012221212), we get a palindrome (232334222433232).

The spelling of 212122210212020 in words is "two hundred twelve trillion, one hundred twenty-two billion, two hundred ten million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 6257 7207 12514 14414 25028 28828 31285 36035 62570 72070 125140 144140 235199 470398 940796 1175995 2351990 4703980 45094199 90188398 180376796 225470995 450941990 901883980 1471640143 1695079193 2943280286 3390158386 5886560572 6780316772 7358200715 8475395965 14716401430 16950791930 29432802860 33901583860 10606110510601 21212221021202 42424442042404 53030552553005 106061105106010 212122210212020