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122021220012021 = 32111500978211607
BaseRepresentation
bin11011101111101001000111…
…011110010100111111110101
3121000001010002121211012000200
4123233221013132110333311
5111443143424310341041
61111303435152231113
734462512403623411
oct3357510736247765
9530033077735020
10122021220012021
11359749aa679110
121182864383b499
135311723048b75
14221bc03c63d41
15e190ba53e1b6
hex6efa47794ff5

122021220012021 has 24 divisors (see below), whose sum is σ = 192277166263104. Its totient is φ = 73951752850560.

The previous prime is 122021220012001. The next prime is 122021220012059. The reversal of 122021220012021 is 120210022120221.

It is a happy number.

122021220012021 is a `hidden beast` number, since 1 + 220 + 21 + 220 + 0 + 1 + 202 + 1 = 666.

It is not a de Polignac number, because 122021220012021 - 211 = 122021220009973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122021220011985 and 122021220012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122021220012001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10753800 + ... + 18965406.

It is an arithmetic number, because the mean of its divisors is an integer number (8011548594296).

Almost surely, 2122021220012021 is an apocalyptic number.

122021220012021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122021220012021 is a deficient number, since it is larger than the sum of its proper divisors (70255946251083).

122021220012021 is a wasteful number, since it uses less digits than its factorization.

122021220012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8361721 (or 8361718 counting only the distinct ones).

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

Adding to 122021220012021 its reverse (120210022120221), we get a palindrome (242231242132242).

The spelling of 122021220012021 in words is "one hundred twenty-two trillion, twenty-one billion, two hundred twenty million, twelve thousand, twenty-one".

Divisors: 1 3 9 11 33 99 150097 450291 1350873 1651067 4953201 8211607 14859603 24634821 73904463 90327677 270983031 812949093 1232537575879 3697612727637 11092838182911 13557913334669 40673740004007 122021220012021