12401120 has 48 divisors (see below), whose sum is σ = 29529360. Its totient is φ = 4921344.

The previous prime is 12401111. The next prime is 12401141. The reversal of 12401120 is 2110421.

12401120 = T₃₁₁ + T₃₁₂ + ... + T₄₇₀.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28424 + ... + 28856.

It is an arithmetic number, because the mean of its divisors is an integer number (615195).

Almost surely, 2^12401120 is an apocalyptic number.

12401120 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 12401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764680).

12401120 is an abundant number, since it is smaller than the sum of its proper divisors (17128240).

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

12401120 is a wasteful number, since it uses less digits than its factorization.

12401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 12401120 is about 3521.5223980546. The cubic root of 12401120 is about 231.4658738980.

Adding to 12401120 its reverse (2110421), we get a palindrome (14511541).

It can be divided in two parts, 12401 and 120, that added together give a palindrome (12521).

The spelling of 12401120 in words is "twelve million, four hundred one thousand, one hundred twenty".