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123793920000 = 2123554199
BaseRepresentation
bin111001101001010110…
…0010101000000000000
3102211112102002201100000
41303102230111000000
54012012220420000
6132511541200000
711641504646442
oct1632254250000
9384472081300
10123793920000
11485564933a3
121bbaa400000
13b89b20324a
145dc5174492
1533480c0000
hex1cd2b15000

123793920000 has 780 divisors, whose sum is σ = 465714048800. Its totient is φ = 32845824000.

The previous prime is 123793919959. The next prime is 123793920011. The reversal of 123793920000 is 29397321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 622079901 + ... + 622080099.

Almost surely, 2123793920000 is an apocalyptic number.

123793920000 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 123793920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232857024400).

123793920000 is an abundant number, since it is smaller than the sum of its proper divisors (341920128800).

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

123793920000 is an frugal number, since it uses more digits than its factorization.

123793920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 123793920000 in words is "one hundred twenty-three billion, seven hundred ninety-three million, nine hundred twenty thousand".