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123013230000 = 243545969499
BaseRepresentation
bin111001010010000101…
…0001110110110110000
3102202112000002112222120
41302210022032312300
54003412341330000
6132302252234240
711613245126343
oct1624412166660
9382460075876
10123013230000
1148195841451
121ba10a6b980
13b7a55516bb
145d4d5d445a
1532ee7ae6a0
hex1ca428edb0

123013230000 has 200 divisors, whose sum is σ = 403839480000. Its totient is φ = 32247072000.

The previous prime is 123013229981. The next prime is 123013230007. The reversal of 123013230000 is 32310321.

Adding to 123013230000 its reverse (32310321), we get a palindrome (123045540321).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (123013230007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1735251 + ... + 1804749.

It is an arithmetic number, because the mean of its divisors is an integer number (2019197400).

Almost surely, 2123013230000 is an apocalyptic number.

123013230000 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 123013230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201919740000).

123013230000 is an abundant number, since it is smaller than the sum of its proper divisors (280826250000).

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

123013230000 is an equidigital number, since it uses as much as digits as its factorization.

123013230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69589 (or 69568 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The spelling of 123013230000 in words is "one hundred twenty-three billion, thirteen million, two hundred thirty thousand".