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122021120221 = 71113971256693
BaseRepresentation
bin111000110100100000…
…1101000100011011101
3102122221212021011012221
41301221001220203131
53444344401321341
6132020012025341
711546540260120
oct1615101504335
9378855234187
10122021120221
1147826817710
121b794762251
13b677b479b0
145c9793c3b7
15329263aed1
hex1c690688dd

122021120221 has 32 divisors (see below), whose sum is σ = 165521680128. Its totient is φ = 86862551040.

The previous prime is 122021120191. The next prime is 122021120227.

It is a happy number.

122021120221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 122021120221 - 29 = 122021119709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122021120195 and 122021120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122021120227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531250 + ... + 725443.

It is an arithmetic number, because the mean of its divisors is an integer number (5172552504).

Almost surely, 2122021120221 is an apocalyptic number.

122021120221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122021120221 is a deficient number, since it is larger than the sum of its proper divisors (43500559907).

122021120221 is a wasteful number, since it uses less digits than its factorization.

122021120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256821.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 122021 and 120221, that added together give a palindrome (242242).

The spelling of 122021120221 in words is "one hundred twenty-two billion, twenty-one million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 7 11 13 77 91 97 143 679 1001 1067 1261 7469 8827 13871 97097 1256693 8796851 13823623 16337009 96765361 114359063 121899221 179707099 853294547 1257949693 1340891431 1584689873 9386240017 11092829111 17431588603 122021120221