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12101220332322 = 2311183351823217
BaseRepresentation
bin1011000000011000100011…
…1100000111001100100010
31120211212100211222202021120
42300012020330013030202
53041231244401113242
641423120205033110
72356166343441132
oct260061074071442
946755324882246
1012101220332322
11394610a443710
12143536a255796
1369a1a8c92254
142db9b8b42ac2
1515eba93601ec
hexb0188f07322

12101220332322 has 16 divisors (see below), whose sum is σ = 26402662543392. Its totient is φ = 3667036464320.

The previous prime is 12101220332303. The next prime is 12101220332323. The reversal of 12101220332322 is 22323302210121.

It is a super-3 number, since 3×121012203323223 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12101220332292 and 12101220332301.

It is not an unprimeable number, because it can be changed into a prime (12101220332323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91675911543 + ... + 91675911674.

It is an arithmetic number, because the mean of its divisors is an integer number (1650166408962).

Almost surely, 212101220332322 is an apocalyptic number.

12101220332322 is an abundant number, since it is smaller than the sum of its proper divisors (14301442211070).

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

12101220332322 is a wasteful number, since it uses less digits than its factorization.

12101220332322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183351823233.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12101220332322 its reverse (22323302210121), we get a palindrome (34424522542443).

The spelling of 12101220332322 in words is "twelve trillion, one hundred one billion, two hundred twenty million, three hundred thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 183351823217 366703646434 550055469651 1100110939302 2016870055387 4033740110774 6050610166161 12101220332322