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122022122202020 = 225431931321556519
BaseRepresentation
bin11011101111101001111101…
…001111111010001110100100
3121000001012102111110012001002
4123233221331033322032210
5111443202301240431040
61111304104501252432
734462543640253065
oct3357517517721644
9530035374405032
10122022122202020
1135975322966887
1211828855a04118
135311837c2b2c1
14221bc8b9d056c
15e1911e84ea15
hex6efa7d3fa3a4

122022122202020 has 96 divisors (see below), whose sum is σ = 263764247873280. Its totient is φ = 47390757765120.

The previous prime is 122022122202007. The next prime is 122022122202107. The reversal of 122022122202020 is 20202221220221.

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 = 122022122201983 and 122022122202001.

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, 218981321 + ... + 219537839.

It is an arithmetic number, because the mean of its divisors is an integer number (2747544248680).

Almost surely, 2122022122202020 is an apocalyptic number.

122022122202020 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 122022122202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131882123936640).

122022122202020 is an abundant number, since it is smaller than the sum of its proper divisors (141742125671260).

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

122022122202020 is a wasteful number, since it uses less digits than its factorization.

122022122202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558085 (or 558083 counting only the distinct ones).

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

Adding to 122022122202020 its reverse (20202221220221), we get a palindrome (142224343422241).

The spelling of 122022122202020 in words is "one hundred twenty-two trillion, twenty-two billion, one hundred twenty-two million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 193 215 386 430 772 860 965 1321 1930 2642 3860 5284 6605 8299 13210 16598 26420 33196 41495 56803 82990 113606 165980 227212 254953 284015 509906 556519 568030 1019812 1113038 1136060 1274765 2226076 2549530 2782595 5099060 5565190 10962979 11130380 21925958 23930317 43851916 47860634 54814895 95721268 107408167 109629790 119651585 214816334 219259580 239303170 429632668 478606340 537040835 735161599 1074081670 1470323198 2148163340 2940646396 3675807995 4618551181 7351615990 9237102362 14703231980 18474204724 23092755905 31611948757 46185511810 63223897514 92371023620 126447795028 141886188607 158059743785 283772377214 316119487570 567544754428 632238975140 709430943035 1418861886070 2837723772140 6101106110101 12202212220202 24404424440404 30505530550505 61011061101010 122022122202020