12218532480 has 640 divisors, whose sum is σ = 54419333760. Its totient is φ = 2538086400.

The previous prime is 12218532439. The next prime is 12218532481. The reversal of 12218532480 is 8423581221.

It is a happy number.

12218532480 is a `hidden beast` number, since 122 + 1 + 8 + 53 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (12218532481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3990150 + ... + 3993210.

It is an arithmetic number, because the mean of its divisors is an integer number (85030209).

Almost surely, 2^12218532480 is an apocalyptic number.

12218532480 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 12218532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27209666880).

12218532480 is an abundant number, since it is smaller than the sum of its proper divisors (42200801280).

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

12218532480 is a wasteful number, since it uses less digits than its factorization.

12218532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 12218532480 in words is "twelve billion, two hundred eighteen million, five hundred thirty-two thousand, four hundred eighty".