12261573360 has 120 divisors (see below), whose sum is σ = 41233593024. Its totient is φ = 3265374720.

The previous prime is 12261573299. The next prime is 12261573361. The reversal of 12261573360 is 6337516221.

12261573360 is a `hidden beast` number, since 1 + 2 + 2 + 615 + 7 + 3 + 36 + 0 = 666.

12261573360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12261573361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545545 + ... + 567575.

Almost surely, 2^12261573360 is an apocalyptic number.

12261573360 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 12261573360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20616796512).

12261573360 is an abundant number, since it is smaller than the sum of its proper divisors (28972019664).

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

12261573360 is a wasteful number, since it uses less digits than its factorization.

12261573360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22823 (or 22814 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 12261573360 in words is "twelve billion, two hundred sixty-one million, five hundred seventy-three thousand, three hundred sixty".