120133123000 has 128 divisors (see below), whose sum is σ = 309647370240. Its totient is φ = 43260240000.

The previous prime is 120133122937. The next prime is 120133123009. The reversal of 120133123000 is 321331021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120133123009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1079985 + ... + 1186015.

It is an arithmetic number, because the mean of its divisors is an integer number (2419120080).

Almost surely, 2^120133123000 is an apocalyptic number.

120133123000 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 120133123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154823685120).

120133123000 is an abundant number, since it is smaller than the sum of its proper divisors (189514247240).

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

120133123000 is a wasteful number, since it uses less digits than its factorization.

120133123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106166 (or 106152 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 120133123000 its reverse (321331021), we get a palindrome (120454454021).

The spelling of 120133123000 in words is "one hundred twenty billion, one hundred thirty-three million, one hundred twenty-three thousand".