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212122020110121 = 321123203534577141
BaseRepresentation
bin110000001110110010000001…
…101010000101111100101001
31000211001200000022001222222200
4300032302001222011330221
5210300401344122010441
62031051302154010413
762452211255212362
oct6016620152057451
91024050008058880
10212122020110121
1161652497384970
121b95a803416a09
139149036531754
143a54a90d5ab69
15197cba949b7b6
hexc0ec81a85f29

212122020110121 has 48 divisors (see below), whose sum is σ = 348802827115392. Its totient is φ = 122963218329600.

The previous prime is 212122020110101. The next prime is 212122020110141. The reversal of 212122020110121 is 121011020221212.

212122020110121 is a `hidden beast` number, since 2 + 121 + 220 + 201 + 1 + 0 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (212122020110101) and next prime (212122020110141).

It is not a de Polignac number, because 212122020110121 - 25 = 212122020110089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212122020110094 and 212122020110103.

It is not an unprimeable number, because it can be changed into a prime (212122020110101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44055211 + ... + 48632351.

It is an arithmetic number, because the mean of its divisors is an integer number (7266725564904).

Almost surely, 2212122020110121 is an apocalyptic number.

It is an amenable number.

212122020110121 is a deficient number, since it is larger than the sum of its proper divisors (136680807005271).

212122020110121 is a wasteful number, since it uses less digits than its factorization.

212122020110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597534 (or 4597531 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212122020110121 its reverse (121011020221212), we get a palindrome (333133040331333).

The spelling of 212122020110121 in words is "two hundred twelve trillion, one hundred twenty-two billion, twenty million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 20353 61059 183177 223883 468119 671649 1404357 2014947 4213071 4577141 5149309 13731423 15447927 41194269 46343781 50348551 105274243 151045653 315822729 453136959 947468187 1158016673 3474050019 10422150057 93158550773 279475652319 838426956957 1024744058503 2142646667779 3074232175509 6427940003337 9222696526527 19283820010011 23569113345569 70707340036707 212122020110121