123205302000 has 240 divisors, whose sum is σ = 469435356000. Its totient is φ = 29867904000.

The previous prime is 123205301993. The next prime is 123205302013. The reversal of 123205302000 is 203502321.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×123205302000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113125 + ... + 509124.

It is an arithmetic number, because the mean of its divisors is an integer number (1955980650).

Almost surely, 2^123205302000 is an apocalyptic number.

123205302000 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 123205302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234717678000).

123205302000 is an abundant number, since it is smaller than the sum of its proper divisors (346230054000).

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

123205302000 is a wasteful number, since it uses less digits than its factorization.

123205302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622289 (or 622270 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 123205302000 its reverse (203502321), we get a palindrome (123408804321).

The spelling of 123205302000 in words is "one hundred twenty-three billion, two hundred five million, three hundred two thousand".