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122121302121 = 32713374030007
BaseRepresentation
bin111000110111011111…
…1110011000001101001
3102200012211202220221200
41301232333303001221
54000101023131441
6132033551154413
711552164640460
oct1615677630151
9380184686850
10122121302121
1147878322875
121b802215a09
13b692823220
145ca6d799d7
15329b3297b6
hex1c6eff3069

122121302121 has 48 divisors (see below), whose sum is σ = 222972282624. Its totient is φ = 62674653312.

The previous prime is 122121302101. The next prime is 122121302123. The reversal of 122121302121 is 121203121221.

122121302121 is a `hidden beast` number, since 1 + 221 + 21 + 302 + 121 = 666.

It is not a de Polignac number, because 122121302121 - 211 = 122121300073 is a prime.

It is a super-2 number, since 2×1221213021212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122121302094 and 122121302103.

It is not an unprimeable number, because it can be changed into a prime (122121302123) 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, 1984701 + ... + 2045306.

It is an arithmetic number, because the mean of its divisors is an integer number (4645255888).

Almost surely, 2122121302121 is an apocalyptic number.

It is an amenable number.

122121302121 is a deficient number, since it is larger than the sum of its proper divisors (100850980503).

122121302121 is a wasteful number, since it uses less digits than its factorization.

122121302121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4030070 (or 4030067 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122121302121 its reverse (121203121221), we get a palindrome (243324423342).

The spelling of 122121302121 in words is "one hundred twenty-two billion, one hundred twenty-one million, three hundred two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 333 481 777 819 1443 2331 3367 4329 10101 30303 4030007 12090021 28210049 36270063 52390091 84630147 149110259 157170273 253890441 366730637 447330777 471510819 1043771813 1100191911 1341992331 1938433367 3131315439 3300575733 5815300101 9393946317 13569033569 17445900303 40707100707 122121302121