123121133120 has 112 divisors (see below), whose sum is σ = 298809918000. Its totient is φ = 48312115200.

The previous prime is 123121133101. The next prime is 123121133129. The reversal of 123121133120 is 21331121321.

It is a happy number.

123121133120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 133448704 + 122987684416 = 11552^2 + 350696^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 123121133092 and 123121133101.

It is not an unprimeable number, because it can be changed into a prime (123121133129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3505406 + ... + 3540354.

Almost surely, 2^123121133120 is an apocalyptic number.

123121133120 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 123121133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149404959000).

123121133120 is an abundant number, since it is smaller than the sum of its proper divisors (175688784880).

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

123121133120 is a wasteful number, since it uses less digits than its factorization.

123121133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35176 (or 35166 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 123121133120 its reverse (21331121321), we get a palindrome (144452254441).

The spelling of 123121133120 in words is "one hundred twenty-three billion, one hundred twenty-one million, one hundred thirty-three thousand, one hundred twenty".