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123012111123 = 321110312063559
BaseRepresentation
bin111001010010000010…
…1111101101100010011
3102202111220222201011200
41302210011331230103
54003412100023443
6132302212242243
711613232456326
oct1624405755423
9382456881150
10123012111123
1148195147860
121ba10610383
13b7a524c345
145d4d3c27bd
1532ee63cdd3
hex1ca417db13

123012111123 has 24 divisors (see below), whose sum is σ = 195719197440. Its totient is φ = 73828974960.

The previous prime is 123012111109. The next prime is 123012111133. The reversal of 123012111123 is 321111210321.

Adding to 123012111123 its reverse (321111210321), we get a palindrome (444123321444).

It is not a de Polignac number, because 123012111123 - 24 = 123012111107 is a prime.

It is a super-2 number, since 2×1230121111232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123012111096 and 123012111105.

It is not an unprimeable number, because it can be changed into a prime (123012111133) 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 23 ways as a sum of consecutive naturals, for example, 6021583 + ... + 6041976.

It is an arithmetic number, because the mean of its divisors is an integer number (8154966560).

Almost surely, 2123012111123 is an apocalyptic number.

123012111123 is a deficient number, since it is larger than the sum of its proper divisors (72707086317).

123012111123 is a wasteful number, since it uses less digits than its factorization.

123012111123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12063679 (or 12063676 counting only the distinct ones).

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

The spelling of 123012111123 in words is "one hundred twenty-three billion, twelve million, one hundred eleven thousand, one hundred twenty-three".

Divisors: 1 3 9 11 33 99 103 309 927 1133 3399 10197 12063559 36190677 108572031 132699149 398097447 1194292341 1242546577 3727639731 11182919193 13668012347 41004037041 123012111123