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20012022122121 = 332966140999433
BaseRepresentation
bin1001000110011011010010…
…11110000100011010001001
32121212010112020012120212000
410203031221132010122021
510110334110130401441
6110321221313541213
74133551364253411
oct443155136043211
977763466176760
1020012022122121
116416061859357
1222b2569874809
13b22182bc2873
144d2830b97641
1524a85a5262b6
hex123369784689

20012022122121 has 64 divisors (see below), whose sum is σ = 30726915360000. Its totient is φ = 12857313047040.

The previous prime is 20012022122093. The next prime is 20012022122143. The reversal of 20012022122121 is 12122122021002.

It is a happy number.

20012022122121 is a `hidden beast` number, since 200 + 1 + 2 + 0 + 221 + 221 + 21 = 666.

It is not a de Polignac number, because 20012022122121 - 213 = 20012022113929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20012022122094 and 20012022122103.

It is not an unprimeable number, because it can be changed into a prime (20012022122221) 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, 2121486021 + ... + 2121495453.

It is an arithmetic number, because the mean of its divisors is an integer number (480108052500).

Almost surely, 220012022122121 is an apocalyptic number.

It is an amenable number.

20012022122121 is a deficient number, since it is larger than the sum of its proper divisors (10714893237879).

20012022122121 is a wasteful number, since it uses less digits than its factorization.

20012022122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14231 (or 14225 counting only the distinct ones).

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

Adding to 20012022122121 its reverse (12122122021002), we get a palindrome (32134144143123).

The spelling of 20012022122121 in words is "twenty trillion, twelve billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 27 29 87 261 661 783 1983 4099 5949 9433 12297 17847 19169 28299 36891 57507 84897 110673 118871 172521 254691 273557 356613 517563 820671 1069839 2462013 2709439 3209517 6235213 7386039 8128317 18705639 24384951 38665867 56116917 73154853 78573731 115997601 168350751 180821177 235721193 347992803 542463531 707163579 1043978409 1121310143 1627390593 2121490737 3363930429 4882171779 10091791287 25558138087 30275373861 76674414261 230023242783 690069728349 741186004523 2223558013569 6670674040707 20012022122121