12120840 has 192 divisors, whose sum is σ = 43243200. Its totient is φ = 3048192.

The previous prime is 12120833. The next prime is 12120859. The reversal of 12120840 is 4802121.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281859 + ... + 281901.

It is an arithmetic number, because the mean of its divisors is an integer number (225225).

Almost surely, 2^12120840 is an apocalyptic number.

12120840 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 12120840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621600).

12120840 is an abundant number, since it is smaller than the sum of its proper divisors (31122360).

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

12120840 is a wasteful number, since it uses less digits than its factorization.

12120840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12120840 is about 3481.4996768634. The cubic root of 12120840 is about 229.7087681264.

12120840 divided by its sum of digits (18) gives a triangular number (673380 = T₁₁₆₀).

Adding to 12120840 its reverse (4802121), we get a palindrome (16922961).

The spelling of 12120840 in words is "twelve million, one hundred twenty thousand, eight hundred forty".