12120140312040 has 256 divisors, whose sum is σ = 39236759147520. Its totient is φ = 2983679262720.

The previous prime is 12120140312009. The next prime is 12120140312081. The reversal of 12120140312040 is 4021304102121.

It is a junction number, because it is equal to n+sod(n) for n = 12120140311998 and 12120140312016.

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, 438629025 + ... + 438656655.

It is an arithmetic number, because the mean of its divisors is an integer number (153268590420).

Almost surely, 2^{12120140312040} is an apocalyptic number.

12120140312040 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 12120140312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19618379573760).

12120140312040 is an abundant number, since it is smaller than the sum of its proper divisors (27116618835480).

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

12120140312040 is a wasteful number, since it uses less digits than its factorization.

12120140312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31772 (or 31768 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12120140312040 its reverse (4021304102121), we get a palindrome (16141444414161).

The spelling of 12120140312040 in words is "twelve trillion, one hundred twenty billion, one hundred forty million, three hundred twelve thousand, forty".