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120123314443223 = 72131300114504779
BaseRepresentation
bin11011010100000001100011…
…011111001001001111010111
3120202022200021022122210210022
4123110001203133021033113
5111221100021444140343
61103251515553215355
734205423466515300
oct3324014337111727
9522280238583708
10120123314443223
1135303014438603
1211580852b6155b
1352047701b2440
142193ddc6717a7
15dd4a3a5b3568
hex6d40637c93d7

120123314443223 has 24 divisors (see below), whose sum is σ = 150495737348880. Its totient is φ = 95035305456000.

The previous prime is 120123314443219. The next prime is 120123314443229. The reversal of 120123314443223 is 322344413321021.

It is a happy number.

It is not a de Polignac number, because 120123314443223 - 22 = 120123314443219 is a prime.

It is a super-2 number, since 2×1201233144432232 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120123314443229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1029248 + ... + 15534026.

It is an arithmetic number, because the mean of its divisors is an integer number (6270655722870).

Almost surely, 2120123314443223 is an apocalyptic number.

120123314443223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

120123314443223 is a deficient number, since it is larger than the sum of its proper divisors (30372422905657).

120123314443223 is a wasteful number, since it uses less digits than its factorization.

120123314443223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14517807 (or 14517800 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 120123314443223 its reverse (322344413321021), we get a palindrome (442467727764244).

The spelling of 120123314443223 in words is "one hundred twenty trillion, one hundred twenty-three billion, three hundred fourteen million, four hundred forty-three thousand, two hundred twenty-three".

Divisors: 1 7 13 49 91 637 13001 91007 169013 637049 1183091 8281637 14504779 101533453 188562127 710734171 1319934889 9239544223 188576631779 1320036422453 2451496213127 9240254957171 17160473491889 120123314443223