12281550240 has 384 divisors, whose sum is σ = 41271164928. Its totient is φ = 3065610240.

The previous prime is 12281550233. The next prime is 12281550241. The reversal of 12281550240 is 4205518221.

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

It is a junction number, because it is equal to n+sod(n) for n = 12281550198 and 12281550207.

It is not an unprimeable number, because it can be changed into a prime (12281550241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96705057 + ... + 96705183.

It is an arithmetic number, because the mean of its divisors is an integer number (107476992).

Almost surely, 2^12281550240 is an apocalyptic number.

12281550240 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 12281550240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20635582464).

12281550240 is an abundant number, since it is smaller than the sum of its proper divisors (28989614688).

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

12281550240 is a wasteful number, since it uses less digits than its factorization.

12281550240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The spelling of 12281550240 in words is "twelve billion, two hundred eighty-one million, five hundred fifty thousand, two hundred forty".