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123142214312200 = 23523072005573523
BaseRepresentation
bin11011111111111101000111…
…111100001110000100001000
3121011000021120122100220102201
4123333331013330032010020
5112120030223330442300
61113522430254405544
734636505603146246
oct3377750774160410
9534007518326381
10123142214312200
1136267357739606
12119899525008b4
1353933514c1765
14225a1876b9796
15e383291b366a
hex6fff47f0e108

123142214312200 has 48 divisors (see below), whose sum is σ = 287238240107280. Its totient is φ = 49096439818560.

The previous prime is 123142214312189. The next prime is 123142214312207. The reversal of 123142214312200 is 2213412241321.

It is not an unprimeable number, because it can be changed into a prime (123142214312207) 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, 1002725362 + ... + 1002848161.

It is an arithmetic number, because the mean of its divisors is an integer number (5984130002235).

Almost surely, 2123142214312200 is an apocalyptic number.

123142214312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123142214312200 is an abundant number, since it is smaller than the sum of its proper divisors (164096025795080).

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

123142214312200 is a wasteful number, since it uses less digits than its factorization.

123142214312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005573846 (or 2005573837 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 123142214312200 its reverse (2213412241321), we get a palindrome (125355626553521).

The spelling of 123142214312200 in words is "one hundred twenty-three trillion, one hundred forty-two billion, two hundred fourteen million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 307 614 1228 1535 2456 3070 6140 7675 12280 15350 30700 61400 2005573523 4011147046 8022294092 10027867615 16044588184 20055735230 40111470460 50139338075 80222940920 100278676150 200557352300 401114704600 615711071561 1231422143122 2462844286244 3078555357805 4925688572488 6157110715610 12314221431220 15392776789025 24628442862440 30785553578050 61571107156100 123142214312200