123201300000 has 144 divisors (see below), whose sum is σ = 404229377664. Its totient is φ = 32853600000.

The previous prime is 123201299989. The next prime is 123201300017. The reversal of 123201300000 is 3102321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94665 + ... + 505335.

It is an arithmetic number, because the mean of its divisors is an integer number (2807148456).

Almost surely, 2^123201300000 is an apocalyptic number.

123201300000 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 123201300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202114688832).

123201300000 is an abundant number, since it is smaller than the sum of its proper divisors (281028077664).

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

123201300000 is an frugal number, since it uses more digits than its factorization.

123201300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410709 (or 410681 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 123201300000 its reverse (3102321), we get a palindrome (123204402321).

The spelling of 123201300000 in words is "one hundred twenty-three billion, two hundred one million, three hundred thousand".