123120133100 has 72 divisors (see below), whose sum is σ = 275271006528. Its totient is φ = 47773465600.

The previous prime is 123120133061. The next prime is 123120133183. The reversal of 123120133100 is 1331021321.

123120133100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123120133100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415190 + ... + 647010.

It is an arithmetic number, because the mean of its divisors is an integer number (3823208424).

Almost surely, 2^123120133100 is an apocalyptic number.

123120133100 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 123120133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137635503264).

123120133100 is an abundant number, since it is smaller than the sum of its proper divisors (152150873428).

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

123120133100 is a wasteful number, since it uses less digits than its factorization.

123120133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231995 (or 231988 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 123120133100 its reverse (1331021321), we get a palindrome (124451154421).

The spelling of 123120133100 in words is "one hundred twenty-three billion, one hundred twenty million, one hundred thirty-three thousand, one hundred".