12561120 has 288 divisors, whose sum is σ = 51184224. Its totient is φ = 2764800.

The previous prime is 12561103. The next prime is 12561127. The reversal of 12561120 is 2116521.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 12561093 and 12561102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12561127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205890 + ... + 205950.

It is an arithmetic number, because the mean of its divisors is an integer number (177723).

Almost surely, 2^12561120 is an apocalyptic number.

12561120 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 12561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592112).

12561120 is an abundant number, since it is smaller than the sum of its proper divisors (38623104).

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

12561120 is a wasteful number, since it uses less digits than its factorization.

12561120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 12561120 is about 3544.1670389529. The cubic root of 12561120 is about 232.4570853849.

Adding to 12561120 its reverse (2116521), we get a palindrome (14677641).

The spelling of 12561120 in words is "twelve million, five hundred sixty-one thousand, one hundred twenty".