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123941678112 = 2532761479007
BaseRepresentation
bin111001101101101111…
…1111110110000100000
3102211220201010121100200
41303123133332300200
54012313032144422
6132534340145200
711645250611220
oct1633337766040
9384821117320
10123941678112
114862193423a
122002b998200
13b8c29c8895
145ddaa38080
15335605a2ac
hex1cdb7fec20

123941678112 has 72 divisors (see below), whose sum is σ = 402810460416. Its totient is φ = 35411907456.

The previous prime is 123941678093. The next prime is 123941678117. The reversal of 123941678112 is 211876149321.

123941678112 is a `hidden beast` number, since 12 + 394 + 167 + 81 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (123941678117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30737488 + ... + 30741519.

It is an arithmetic number, because the mean of its divisors is an integer number (5594589728).

Almost surely, 2123941678112 is an apocalyptic number.

123941678112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123941678112 is an abundant number, since it is smaller than the sum of its proper divisors (278868782304).

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

123941678112 is a wasteful number, since it uses less digits than its factorization.

123941678112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61479030 (or 61479019 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 123941678112 in words is "one hundred twenty-three billion, nine hundred forty-one million, six hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 61479007 122958014 184437021 245916028 368874042 430353049 491832056 553311063 737748084 860706098 983664112 1106622126 1291059147 1475496168 1721412196 1967328224 2213244252 2582118294 2950992336 3442824392 3873177441 4426488504 5164236588 5901984672 6885648784 7746354882 8852977008 10328473176 13771297568 15492709764 17705954016 20656946352 30985419528 41313892704 61970839056 123941678112