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20122121210121 = 3371912301455531
BaseRepresentation
bin1001001001101000010111…
…11000110000100100001001
32122020122201020001202102000
410210310023320300210021
510114140101012210441
6110443550323301213
74144526631130230
oct444641370604411
978218636052360
1020122121210121
11645881a927777
12230b97581a809
13b2c67aaa4108
144d7cb71b1b17
1524d6511932b6
hex124d0be30909

20122121210121 has 64 divisors (see below), whose sum is σ = 35865309849600. Its totient is φ = 10892268936000.

The previous prime is 20122121210071. The next prime is 20122121210131. The reversal of 20122121210121 is 12101212122102.

20122121210121 is a `hidden beast` number, since 201 + 221 + 2 + 121 + 0 + 121 = 666.

It is not a de Polignac number, because 20122121210121 - 210 = 20122121209097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20122121210094 and 20122121210103.

It is not an unprimeable number, because it can be changed into a prime (20122121210131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43945126 + ... + 44400656.

It is an arithmetic number, because the mean of its divisors is an integer number (560395466400).

Almost surely, 220122121210121 is an apocalyptic number.

20122121210121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20122121210121 is a deficient number, since it is larger than the sum of its proper divisors (15743188639479).

20122121210121 is a wasteful number, since it uses less digits than its factorization.

20122121210121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467867 (or 467861 counting only the distinct ones).

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

Adding to 20122121210121 its reverse (12101212122102), we get a palindrome (32223333332223).

The spelling of 20122121210121 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1197 3591 12301 36903 86107 110709 233719 258321 332127 455531 701157 774963 1366593 1636033 2103471 2324889 3188717 4099779 4908099 6310413 8655089 9566151 12299337 14724297 25965267 28698453 44172891 60585623 77895801 86095359 181756869 233687403 545270607 1635811821 5603486831 16810460493 39224407817 50431381479 106466249789 117673223451 151294144437 319398749367 353019670353 745263748523 958196248101 1059059011059 2235791245569 2874588744303 6707373736707 20122121210121