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212201212220120 = 2355305030305503
BaseRepresentation
bin110000001111111011110001…
…111000000001001011011000
31000211100020102100000000020202
4300033323301320001023120
5210303201040312020440
62031151520251441332
762461013600066504
oct6017736170011330
91024306370000222
10212201212220120
1161683035251262
121b972024756248
139153647180336
143a588446b5304
15197ec91a85615
hexc0fef1e012d8

212201212220120 has 16 divisors (see below), whose sum is σ = 477452727495360. Its totient is φ = 84880484888032.

The previous prime is 212201212220113. The next prime is 212201212220177. The reversal of 212201212220120 is 21022212102212.

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 = 212201212220092 and 212201212220101.

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 3 ways as a sum of consecutive naturals, for example, 2652515152712 + ... + 2652515152791.

It is an arithmetic number, because the mean of its divisors is an integer number (29840795468460).

Almost surely, 2212201212220120 is an apocalyptic number.

212201212220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201212220120 is an abundant number, since it is smaller than the sum of its proper divisors (265251515275240).

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

212201212220120 is a wasteful number, since it uses less digits than its factorization.

212201212220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305030305514 (or 5305030305510 counting only the distinct ones).

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

Adding to 212201212220120 its reverse (21022212102212), we get a palindrome (233223424322332).

The spelling of 212201212220120 in words is "two hundred twelve trillion, two hundred one billion, two hundred twelve million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5305030305503 10610060611006 21220121222012 26525151527515 42440242444024 53050303055030 106100606110060 212201212220120