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121211112201021 = 32371789203464133
BaseRepresentation
bin11011100011110110101001…
…010010010001101100111101
3120220011200001211001110000200
4123203312221102101230331
5111341410324210413041
61105443341034314113
734350133233062553
oct3343665122215475
9526150054043020
10121211112201021
1135692386963407
1211717638288939
13528320ac6514b
1421d0913313bd3
15e02ea4b951b6
hex6e3da9491b3d

121211112201021 has 24 divisors (see below), whose sum is σ = 179915195130840. Its totient is φ = 78579475491456.

The previous prime is 121211112200987. The next prime is 121211112201059. The reversal of 121211112201021 is 120102211112121.

It is a happy number.

121211112201021 is a `hidden beast` number, since 121 + 211 + 11 + 220 + 102 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86292302103225 + 34918810097796 = 9289365^2 + 5909214^2 .

It is not a de Polignac number, because 121211112201021 - 29 = 121211112200509 is a prime.

It is a super-2 number, since 2×1212111122010212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121211112200985 and 121211112201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121211112201061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101136330 + ... + 102327803.

It is an arithmetic number, because the mean of its divisors is an integer number (7496466463785).

Almost surely, 2121211112201021 is an apocalyptic number.

It is an amenable number.

121211112201021 is a deficient number, since it is larger than the sum of its proper divisors (58704082929819).

121211112201021 is a wasteful number, since it uses less digits than its factorization.

121211112201021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203465965 (or 203465962 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121211112201021 its reverse (120102211112121), we get a palindrome (241313323313142).

The spelling of 121211112201021 in words is "one hundred twenty-one trillion, two hundred eleven billion, one hundred twelve million, two hundred one thousand, twenty-one".

Divisors: 1 3 9 37 111 333 1789 5367 16101 66193 198579 595737 203464133 610392399 1831177197 7528172921 22584518763 67753556289 363997333937 1091992001811 3275976005433 13467901355669 40403704067007 121211112201021