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120131100012123 = 33103100694290107
BaseRepresentation
bin11011010100001000110011…
…100010101110111001011011
3120202100102100220120200112000
4123110020303202232321123
5111221211443100341443
61103255244313052043
734206120434665014
oct3324106342567133
9522312326520460
10120131100012123
113530634a166772
12115822663b7023
135205411187845
14219453a67c00b
15dd4d43d538d3
hex6d42338aee5b

120131100012123 has 32 divisors (see below), whose sum is σ = 179717772249600. Its totient is φ = 79301957313888.

The previous prime is 120131100012107. The next prime is 120131100012139. The reversal of 120131100012123 is 321210001131021.

It is an interprime number because it is at equal distance from previous prime (120131100012107) and next prime (120131100012139).

It is not a de Polignac number, because 120131100012123 - 24 = 120131100012107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120131100012096 and 120131100012105.

It is not an unprimeable number, because it can be changed into a prime (120131100512123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25856836 + ... + 30146942.

It is an arithmetic number, because the mean of its divisors is an integer number (5616180382800).

Almost surely, 2120131100012123 is an apocalyptic number.

120131100012123 is a deficient number, since it is larger than the sum of its proper divisors (59586672237477).

120131100012123 is a wasteful number, since it uses less digits than its factorization.

120131100012123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300288 (or 4300282 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 120131100012123 its reverse (321210001131021), we get a palindrome (441341101143144).

The spelling of 120131100012123 in words is "one hundred twenty trillion, one hundred thirty-one billion, one hundred million, twelve thousand, one hundred twenty-three".

Divisors: 1 3 9 27 103 309 927 2781 10069 30207 90621 271863 1037107 3111321 4290107 9333963 12870321 28001889 38610963 115832889 441881021 1325643063 3976929189 11930787567 43197087383 129591262149 388773786447 1166321359341 4449300000449 13347900001347 40043700004041 120131100012123