12088248480 has 1152 divisors, whose sum is σ = 55941290496. Its totient is φ = 2319482880.

The previous prime is 12088248467. The next prime is 12088248481. The reversal of 12088248480 is 8484288021.

12088248480 is a `hidden beast` number, since 12 + 0 + 8 + 82 + 484 + 80 = 666.

It is a super-2 number, since 2×12088248480² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12088248481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 228080134 + ... + 228080186.

It is an arithmetic number, because the mean of its divisors is an integer number (48560148).

Almost surely, 2^12088248480 is an apocalyptic number.

12088248480 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 12088248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27970645248).

12088248480 is an abundant number, since it is smaller than the sum of its proper divisors (43853042016).

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

12088248480 is a wasteful number, since it uses less digits than its factorization.

12088248480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 12088248480 in words is "twelve billion, eighty-eight million, two hundred forty-eight thousand, four hundred eighty".