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122021120022021 = 321123942128874243
BaseRepresentation
bin11011101111101001000001…
…100000111001011000000101
3121000001002211122200011112100
4123233221001200321120011
5111443143223211201041
61111303421221142313
734462510051002363
oct3357510140713005
9530032748604470
10122021120022021
1135974959194150
121182861625a999
135311708409a9c
14221bbd4876633
15e190b188c6b6
hex6efa41839605

122021120022021 has 96 divisors (see below), whose sum is σ = 193651495464960. Its totient is φ = 73425090211200.

The previous prime is 122021120022017. The next prime is 122021120022119. The reversal of 122021120022021 is 120220021120221.

It is a happy number.

122021120022021 is a `hidden beast` number, since 1 + 220 + 2 + 1 + 1 + 200 + 220 + 21 = 666.

It is not a de Polignac number, because 122021120022021 - 22 = 122021120022017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122021120021985 and 122021120022003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122021120222021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28758216126 + ... + 28758220368.

It is an arithmetic number, because the mean of its divisors is an integer number (2017203077760).

Almost surely, 2122021120022021 is an apocalyptic number.

122021120022021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122021120022021 is a deficient number, since it is larger than the sum of its proper divisors (71630375442939).

122021120022021 is a wasteful number, since it uses less digits than its factorization.

122021120022021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7807 (or 7804 counting only the distinct ones).

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

Adding to 122021120022021 its reverse (120220021120221), we get a palindrome (242241141142242).

The spelling of 122021120022021 in words is "one hundred twenty-two trillion, twenty-one billion, one hundred twenty million, twenty-two thousand, twenty-one".

Divisors: 1 3 9 11 33 99 239 421 717 1263 2151 2629 2887 3789 4243 4631 7887 8661 12729 13893 23661 25983 31757 38187 41679 46673 95271 100619 140019 285813 301857 420057 689993 905571 1014077 1106809 1215427 1786303 2069979 3042231 3320427 3646281 5358909 6209937 7589923 9126693 9961281 10938843 11154847 12249541 13369697 16076727 19649333 22769769 33464541 36748623 40109091 58947999 68309307 100393623 110245869 120327273 134744951 176843997 290487053 404234853 426926417 871461159 1212704559 1280779251 2614383477 2927640299 3195357583 3842337753 4696190587 5157056761 8782920897 9586072749 14088571761 15471170283 26348762691 28758218247 32204043289 42265715283 46413510849 56727624371 96612129867 170182873113 289836389601 510548619339 1232536565879 3697609697637 11092829092911 13557902224669 40673706674007 122021120022021