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123101101320012 = 22324962768903521
BaseRepresentation
bin11011111111010110110101…
…011010100110011101001100
3121010212100110102000111200100
4123333112311122212131030
5112113342023414220022
61113451510520331100
734633522022401254
oct3377266532463514
9533770412014610
10123101101320012
113625097a502012
1211981999913a90
13538c4cb98ca4a
1422581a738a964
15e3721eb2b1ac
hex6ff5b56a674c

123101101320012 has 36 divisors (see below), whose sum is σ = 311178503073256. Its totient is φ = 41032873002240.

The previous prime is 123101101319957. The next prime is 123101101320101. The reversal of 123101101320012 is 210023101101321.

123101101320012 is a `hidden beast` number, since 1 + 231 + 0 + 1 + 101 + 320 + 0 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1231011013200122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32665189 + ... + 36238332.

Almost surely, 2123101101320012 is an apocalyptic number.

123101101320012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123101101320012 is an abundant number, since it is smaller than the sum of its proper divisors (188077401753244).

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

123101101320012 is a wasteful number, since it uses less digits than its factorization.

123101101320012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68953158 (or 68953153 counting only the distinct ones).

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

Adding to 123101101320012 its reverse (210023101101321), we get a palindrome (333124202421333).

The spelling of 123101101320012 in words is "one hundred twenty-three trillion, one hundred one billion, one hundred one million, three hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 49627 99254 148881 198508 297762 446643 595524 893286 1786572 68903521 137807042 206710563 275614084 413421126 620131689 826842252 1240263378 2480526756 3419475036667 6838950073334 10258425110001 13677900146668 20516850220002 30775275330003 41033700440004 61550550660006 123101101320012