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123943680000 = 211325472953
BaseRepresentation
bin111001101101110011…
…1100111100000000000
3102211220211220022102200
41303123213213200000
54012314040230000
6132534451113200
711645303616510
oct1633347474000
9384824808380
10123943680000
1148622a81298
12200305a2800
13b8c3249b2a
145ddadd9840
153356303500
hex1cdb9e7800

123943680000 has 1440 divisors, whose sum is σ = 538831893600. Its totient is φ = 26836992000.

The previous prime is 123943679983. The next prime is 123943680013. The reversal of 123943680000 is 86349321.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2338559974 + ... + 2338560026.

It is an arithmetic number, because the mean of its divisors is an integer number (374188815).

Almost surely, 2123943680000 is an apocalyptic number.

123943680000 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 123943680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269415946800).

123943680000 is an abundant number, since it is smaller than the sum of its proper divisors (414888213600).

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

123943680000 is an equidigital number, since it uses as much as digits as its factorization.

123943680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 123943680000 in words is "one hundred twenty-three billion, nine hundred forty-three million, six hundred eighty thousand".