12561224160 has 96 divisors (see below), whose sum is σ = 39646363680. Its totient is φ = 3343013888.

The previous prime is 12561224147. The next prime is 12561224167. The reversal of 12561224160 is 6142216521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12561224167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218614 + ... + 270026.

It is an arithmetic number, because the mean of its divisors is an integer number (412982955).

Almost surely, 2^12561224160 is an apocalyptic number.

12561224160 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 12561224160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19823181840).

12561224160 is an abundant number, since it is smaller than the sum of its proper divisors (27085139520).

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

12561224160 is a wasteful number, since it uses less digits than its factorization.

12561224160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51940 (or 51932 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 12561224160 in words is "twelve billion, five hundred sixty-one million, two hundred twenty-four thousand, one hundred sixty".