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123007232712 = 233721323971559
BaseRepresentation
bin111001010001111001…
…1010110101011001000
3102202111120210212020210
41302203303112223020
54003404322421322
6132301515521120
711613143140500
oct1624363265310
9382446725223
10123007232712
1148192415611
121ba0aa591a0
13b7a4231a00
145d4c8b2a00
1532edec770c
hex1ca3cd6ac8

123007232712 has 288 divisors, whose sum is σ = 388583956800. Its totient is φ = 32338994688.

The previous prime is 123007232683. The next prime is 123007232731. The reversal of 123007232712 is 217232700321.

It is a self number, because there is not a number n which added to its sum of digits gives 123007232712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78900589 + ... + 78902147.

It is an arithmetic number, because the mean of its divisors is an integer number (1349249850).

Almost surely, 2123007232712 is an apocalyptic number.

123007232712 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 123007232712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194291978400).

123007232712 is an abundant number, since it is smaller than the sum of its proper divisors (265576724088).

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

123007232712 is a wasteful number, since it uses less digits than its factorization.

123007232712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 123007232712 in words is "one hundred twenty-three billion, seven million, two hundred thirty-two thousand, seven hundred twelve".