12532428480 has 224 divisors, whose sum is σ = 46747346688. Its totient is φ = 2804428800.

The previous prime is 12532428479. The next prime is 12532428521. The reversal of 12532428480 is 8482423521.

It is a super-2 number, since 2×12532428480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91635 + ... + 182925.

It is an arithmetic number, because the mean of its divisors is an integer number (208693512).

Almost surely, 2^12532428480 is an apocalyptic number.

12532428480 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 12532428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23373673344).

12532428480 is an abundant number, since it is smaller than the sum of its proper divisors (34214918208).

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

12532428480 is a wasteful number, since it uses less digits than its factorization.

12532428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91335 (or 91325 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 12532428480 in words is "twelve billion, five hundred thirty-two million, four hundred twenty-eight thousand, four hundred eighty".