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20121102021222 = 23319367389137369
BaseRepresentation
bin1001001001100110011110…
…01000110111001001100110
32122020120002012021121002000
410210303033020313021212
510114131004104134342
6110443301234430130
74144462444146066
oct444631710671146
978216065247060
1020121102021222
116458347597aa4
12230b730432346
13b2c5478a8a67
144d7c1baab3a6
1524d5e197144c
hex124ccf237266

20121102021222 has 128 divisors (see below), whose sum is σ = 47316821760000. Its totient is φ = 6320383001856.

The previous prime is 20121102021161. The next prime is 20121102021227. The reversal of 20121102021222 is 22212020112102.

It is a happy number.

20121102021222 is a `hidden beast` number, since 201 + 211 + 0 + 20 + 212 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20121102021195 and 20121102021204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121102021227) 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, 146406154 + ... + 146543522.

It is an arithmetic number, because the mean of its divisors is an integer number (369662670000).

Almost surely, 220121102021222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121102021222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23658410880000).

20121102021222 is an abundant number, since it is smaller than the sum of its proper divisors (27195719738778).

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

20121102021222 is a wasteful number, since it uses less digits than its factorization.

20121102021222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138155 (or 138149 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20121102021222 its reverse (22212020112102), we get a palindrome (42333122133324).

The spelling of 20121102021222 in words is "twenty trillion, one hundred twenty-one billion, one hundred two million, twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 367 389 513 734 778 1026 1101 1167 2202 2334 3303 3501 6606 6973 7002 7391 9909 10503 13946 14782 19818 20919 21006 22173 41838 44346 62757 66519 125514 133038 137369 142763 188271 199557 274738 285526 376542 399114 412107 428289 824214 856578 1236321 1284867 2472642 2569734 2610011 2712497 3708963 3854601 5220022 5424994 7417926 7709202 7830033 8137491 15660066 16274982 23490099 24412473 46980198 48824946 50414423 53436541 70470297 73237419 100828846 106873082 140940594 146474838 151243269 160309623 302486538 320619246 453729807 480928869 907459614 957874037 961857738 1015294279 1361189421 1442786607 1915748074 2030588558 2722378842 2873622111 2885573214 3045882837 5747244222 6091765674 8620866333 9137648511 17241732666 18275297022 19611210547 25862598999 27412945533 39222421094 51725197998 54825891066 58833631641 117667263282 176500894923 353001789846 372613000393 529502684769 745226000786 1059005369538 1117839001179 2235678002358 3353517003537 6707034007074 10060551010611 20121102021222