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12022122222020 = 2254127164384137
BaseRepresentation
bin1010111011110001111001…
…0100110001000111000100
31120120022012100221102100202
42232330132110301013010
53033432301242101040
641322515310030032
72350366252545431
oct256743624610704
946508170842322
1012022122222020
11391560a63a719
121421b744a8318
136928b1965ca1
142d7c33a96b88
1515caca143015
hexaef1e5311c4

12022122222020 has 96 divisors (see below), whose sum is σ = 25998335064576. Its totient is φ = 4666922956800.

The previous prime is 12022122221987. The next prime is 12022122222167. The reversal of 12022122222020 is 2022222122021.

12022122222020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12022122221983 and 12022122222001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142845392 + ... + 142929528.

It is an arithmetic number, because the mean of its divisors is an integer number (270815990256).

Almost surely, 212022122222020 is an apocalyptic number.

12022122222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022122222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12999167532288).

12022122222020 is an abundant number, since it is smaller than the sum of its proper divisors (13976212842556).

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

12022122222020 is a wasteful number, since it uses less digits than its factorization.

12022122222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85101 (or 85099 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12022122222020 its reverse (2022222122021), we get a palindrome (14044344344041).

Subtracting from 12022122222020 its reverse (2022222122021), we obtain a palindrome (9999900099999).

The spelling of 12022122222020 in words is "twelve trillion, twenty-two billion, one hundred twenty-two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 542 643 820 1084 1286 1355 2572 2710 3215 5420 6430 11111 12860 22222 26363 44444 52726 55555 84137 105452 111110 131815 168274 174253 222220 263630 336548 348506 420685 527260 697012 841370 871265 1682740 1742530 3449617 3485060 6899234 7144373 13798468 14288746 17248085 22801127 28577492 34496170 35721865 45602254 54100091 68992340 71443730 91204508 108200182 114005635 142887460 216400364 228011270 270500455 456022540 541000910 934846207 1082001820 1869692414 2218103731 3739384828 4436207462 4674231035 8872414924 9348462070 11090518655 14661124661 18696924140 22181037310 29322249322 44362074620 58644498644 73305623305 146611246610 293222493220 601106111101 1202212222202 2404424444404 3005530555505 6011061111010 12022122222020