12288559140 has 1152 divisors, whose sum is σ = 51351874560. Its totient is φ = 2408693760.

The previous prime is 12288559109. The next prime is 12288559141. The reversal of 12288559140 is 4195588221.

12288559140 is a `hidden beast` number, since 1 + 2 + 2 + 88 + 559 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12288559141) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 332123202 + ... + 332123238.

It is an arithmetic number, because the mean of its divisors is an integer number (44576280).

Almost surely, 2^12288559140 is an apocalyptic number.

12288559140 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 12288559140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25675937280).

12288559140 is an abundant number, since it is smaller than the sum of its proper divisors (39063315420).

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

12288559140 is a wasteful number, since it uses less digits than its factorization.

12288559140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 12288559140 in words is "twelve billion, two hundred eighty-eight million, five hundred fifty-nine thousand, one hundred forty".