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120123122020223 = 72291077091114301
BaseRepresentation
bin11011010100000001011000…
…000001000110111101111111
3120202022122202220120201001112
4123110001120001012331333
5111221044123214121343
61103251444521032235
734205415642116300
oct3324013001067577
9522278686521045
10120123122020223
1135302a25860333
12115807ba62567b
13520473c37bb8a
142193dc0ca27a7
15dd4a28754218
hex6d4058046f7f

120123122020223 has 48 divisors (see below), whose sum is σ = 146110398285600. Its totient is φ = 98344160006400.

The previous prime is 120123122020151. The next prime is 120123122020259. The reversal of 120123122020223 is 322020221321021.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-120123122020223 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120123122020283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107244173 + ... + 108358473.

It is an arithmetic number, because the mean of its divisors is an integer number (3043966630950).

Almost surely, 2120123122020223 is an apocalyptic number.

120123122020223 is a deficient number, since it is larger than the sum of its proper divisors (25987276265377).

120123122020223 is a wasteful number, since it uses less digits than its factorization.

120123122020223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115160 (or 1115153 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 120123122020223 its reverse (322020221321021), we get a palindrome (442143343341244).

The spelling of 120123122020223 in words is "one hundred twenty trillion, one hundred twenty-three billion, one hundred twenty-two million, twenty thousand, two hundred twenty-three".

Divisors: 1 7 29 49 107 203 709 749 1421 3103 4963 5243 20561 21721 34741 75863 143927 152047 531041 1007489 1114301 2200027 3717287 7800107 15400189 32314729 54600749 107801323 119230207 226203103 790039409 834611449 1583421721 3457676003 5530275863 5842280143 22911142861 24203732021 38711931041 84534216763 160378000027 169426124147 591739517341 1122646000189 2451492286127 4142176621387 17160446002889 120123122020223