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120010220121 = 31121727317121
BaseRepresentation
bin110111111000100101…
…0101010001001011001
3102110202201101211212110
41233301022222021121
53431240104020441
6131044255302533
711445652016451
oct1576112521131
9373681354773
10120010220121
1146994705700
121b31321aa49
13b41735518c
145b46846d61
1531c5d23b16
hex1bf12aa259

120010220121 has 48 divisors (see below), whose sum is σ = 186323143104. Its totient is φ = 68420352000.

The previous prime is 120010220059. The next prime is 120010220123. The reversal of 120010220121 is 121022010021.

It is not a de Polignac number, because 120010220121 - 222 = 120006025817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120010220097 and 120010220106.

It is not an unprimeable number, because it can be changed into a prime (120010220123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16849441 + ... + 16856561.

It is an arithmetic number, because the mean of its divisors is an integer number (3881732148).

Almost surely, 2120010220121 is an apocalyptic number.

120010220121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120010220121 is a deficient number, since it is larger than the sum of its proper divisors (66312922983).

120010220121 is a wasteful number, since it uses less digits than its factorization.

120010220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9894 (or 9883 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120010220121 its reverse (121022010021), we get a palindrome (241032230142).

The spelling of 120010220121 in words is "one hundred twenty billion, ten million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 11 17 33 51 121 187 363 561 2057 2731 6171 7121 8193 21363 30041 46427 78331 90123 121057 139281 234993 330451 363171 510697 861641 991353 1331627 1532091 2584923 3994881 5617667 14647897 16853001 19447451 43943691 58342353 213921961 330606667 641765883 991820001 2353141571 3636673337 7059424713 10910020011 40003406707 120010220121