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123314303112 = 2337112131727449
BaseRepresentation
bin111001011011000011…
…0101111000010001000
3102210021222121122122120
41302312012233002020
54010021430144422
6132352205251240
711623562165460
oct1626606570210
9383258548576
10123314303112
114832a789100
121ba95863b20
13b822a36a80
145d7b5a6ba0
15331ae3145c
hex1cb61af088

123314303112 has 384 divisors, whose sum is σ = 441606816000. Its totient is φ = 27825684480.

The previous prime is 123314303003. The next prime is 123314303137. The reversal of 123314303112 is 211303413321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4478764 + ... + 4506212.

It is an arithmetic number, because the mean of its divisors is an integer number (1150017750).

Almost surely, 2123314303112 is an apocalyptic number.

123314303112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123314303112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220803408000).

123314303112 is an abundant number, since it is smaller than the sum of its proper divisors (318292512888).

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

123314303112 is a wasteful number, since it uses less digits than its factorization.

123314303112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27517 (or 27502 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 123314303112 its reverse (211303413321), we get a palindrome (334617716433).

It can be divided in two parts, 123314 and 303112, that added together give a triangular number (426426 = T923).

The spelling of 123314303112 in words is "one hundred twenty-three billion, three hundred fourteen million, three hundred three thousand, one hundred twelve".