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123551400000 = 263557231279
BaseRepresentation
bin111001100010000111…
…1001100000001000000
3102210220111202102102210
41303010033030001000
54011013124300000
6132431515142120
711632501400160
oct1630417140100
9383814672383
10123551400000
11484415a9546
121bb41144940
13b85cbac3a2
145da0c845a0
153331b67350
hex1cc43cc040

123551400000 has 672 divisors, whose sum is σ = 487648788480. Its totient is φ = 26991360000.

The previous prime is 123551399863. The next prime is 123551400013. The reversal of 123551400000 is 4155321.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 123551400000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96599361 + ... + 96600639.

It is an arithmetic number, because the mean of its divisors is an integer number (725667840).

Almost surely, 2123551400000 is an apocalyptic number.

123551400000 is a gapful number since it is divisible by the number (10) 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 123551400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243824394240).

123551400000 is an abundant number, since it is smaller than the sum of its proper divisors (364097388480).

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

123551400000 is an equidigital number, since it uses as much as digits as its factorization.

123551400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 123551400000 its reverse (4155321), we get a palindrome (123555555321).

The spelling of 123551400000 in words is "one hundred twenty-three billion, five hundred fifty-one million, four hundred thousand".