123001000000000 has 200 divisors, whose sum is σ = 307204670690676. Its totient is φ = 49200000000000.

The previous prime is 123000999999959. The next prime is 123001000000007. The reversal of 123001000000000 is 100321.

It can be written as a sum of positive squares in 10 ways, for example, as 61575283448064 + 61425716551936 = 7846992^2 + 7837456^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 123001000000000.

It is not an unprimeable number, because it can be changed into a prime (123001000000007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 999938500 + ... + 1000061500.

Almost surely, 2^{123001000000000} is an apocalyptic number.

123001000000000 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 123001000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153602335345338).

123001000000000 is an abundant number, since it is smaller than the sum of its proper divisors (184203670690676).

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

123001000000000 is an frugal number, since it uses more digits than its factorization.

123001000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123064 (or 123008 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 123001000000000 its reverse (100321), we get a palindrome (123001000100321).

The spelling of 123001000000000 in words is "one hundred twenty-three trillion, one billion", and thus it is an aban number.