12091524480 has 768 divisors, whose sum is σ = 51325747200. Its totient is φ = 2661507072.

The previous prime is 12091524469. The next prime is 12091524517. The reversal of 12091524480 is 8442519021.

12091524480 is a `hidden beast` number, since 1 + 2 + 0 + 91 + 524 + 48 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31570369 + ... + 31570751.

It is an arithmetic number, because the mean of its divisors is an integer number (66830400).

Almost surely, 2^12091524480 is an apocalyptic number.

12091524480 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 12091524480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25662873600).

12091524480 is an abundant number, since it is smaller than the sum of its proper divisors (39234222720).

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

12091524480 is an equidigital number, since it uses as much as digits as its factorization.

12091524480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12091524480 in words is "twelve billion, ninety-one million, five hundred twenty-four thousand, four hundred eighty".