123000033000 has 256 divisors, whose sum is σ = 426615920640. Its totient is φ = 29299968000.

The previous prime is 123000032959. The next prime is 123000033017. The reversal of 123000033000 is 330000321.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1158132 + ... + 1259868.

It is an arithmetic number, because the mean of its divisors is an integer number (1666468440).

Almost surely, 2^123000033000 is an apocalyptic number.

123000033000 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 123000033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213307960320).

123000033000 is an abundant number, since it is smaller than the sum of its proper divisors (303615887640).

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

123000033000 is a wasteful number, since it uses less digits than its factorization.

123000033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101805 (or 101791 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 123000033000 its reverse (330000321), we get a palindrome (123330033321).

The spelling of 123000033000 in words is "one hundred twenty-three billion, thirty-three thousand".