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123012002112 = 2632134730013
BaseRepresentation
bin111001010010000010…
…1100011000101000000
3102202111220210011122020
41302210011203011000
54003412033031422
6132302210041440
711613231523446
oct1624405430500
9382456704566
10123012002112
114819508296a
121ba10579280
13b7a521183c
145d4d394b96
1532ee61a95c
hex1ca4163140

123012002112 has 56 divisors (see below), whose sum is σ = 325495346976. Its totient is φ = 41000713728.

The previous prime is 123012002107. The next prime is 123012002123. The reversal of 123012002112 is 211200210321.

It is a junction number, because it is equal to n+sod(n) for n = 123012002091 and 123012002100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4083618 + ... + 4113630.

Almost surely, 2123012002112 is an apocalyptic number.

123012002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123012002112 is an abundant number, since it is smaller than the sum of its proper divisors (202483344864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123012002112 is a wasteful number, since it uses less digits than its factorization.

123012002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51375 (or 51365 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 123012002112 its reverse (211200210321), we get a palindrome (334212212433).

The spelling of 123012002112 in words is "one hundred twenty-three billion, twelve million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 21347 30013 42694 60026 64041 85388 90039 120052 128082 170776 180078 240104 256164 341552 360156 480208 512328 683104 720312 960416 1024656 1366208 1440624 1920832 2049312 2881248 4098624 5762496 640687511 1281375022 1922062533 2562750044 3844125066 5125500088 7688250132 10251000176 15376500264 20502000352 30753000528 41004000704 61506001056 123012002112