12120310440 has 192 divisors, whose sum is σ = 45059414400. Its totient is φ = 2767827456.

The previous prime is 12120310439. The next prime is 12120310457. The reversal of 12120310440 is 4401302121.

12120310440 is a `hidden beast` number, since 1 + 21 + 203 + 1 + 0 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5248006 + ... + 5250314.

It is an arithmetic number, because the mean of its divisors is an integer number (234684450).

Almost surely, 2^12120310440 is an apocalyptic number.

12120310440 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 12120310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22529707200).

12120310440 is an abundant number, since it is smaller than the sum of its proper divisors (32939103960).

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

12120310440 is a wasteful number, since it uses less digits than its factorization.

12120310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12120310440 its reverse (4401302121), we get a palindrome (16521612561).

The spelling of 12120310440 in words is "twelve billion, one hundred twenty million, three hundred ten thousand, four hundred forty".