123330002000 has 240 divisors, whose sum is σ = 330127276752. Its totient is φ = 44404940800.

The previous prime is 123330001997. The next prime is 123330002111. The reversal of 123330002000 is 200033321.

It can be written as a sum of positive squares in 8 ways, for example, as 64428653584 + 58901348416 = 253828^2 + 242696^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17982572 + ... + 17989428.

Almost surely, 2^123330002000 is an apocalyptic number.

123330002000 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 123330002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165063638376).

123330002000 is an abundant number, since it is smaller than the sum of its proper divisors (206797274752).

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

123330002000 is a wasteful number, since it uses less digits than its factorization.

123330002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6943 (or 6904 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 123330002000 its reverse (200033321), we get a palindrome (123530035321).

The spelling of 123330002000 in words is "one hundred twenty-three billion, three hundred thirty million, two thousand".