12401160 has 64 divisors (see below), whose sum is σ = 39398400. Its totient is φ = 3111936.

The previous prime is 12401153. The next prime is 12401173. The reversal of 12401160 is 6110421.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 1000 + ... + 5079.

It is an arithmetic number, because the mean of its divisors is an integer number (615600).

Almost surely, 2^12401160 is an apocalyptic number.

12401160 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 12401160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699200).

12401160 is an abundant number, since it is smaller than the sum of its proper divisors (26997240).

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

12401160 is a wasteful number, since it uses less digits than its factorization.

12401160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6110 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 12401160 is about 3521.5280774118. The cubic root of 12401160 is about 231.4661227633.

Adding to 12401160 its reverse (6110421), we get a palindrome (18511581).

It can be divided in two parts, 12401 and 160, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 12401160 in words is "twelve million, four hundred one thousand, one hundred sixty".