12480938093232 has 400 divisors, whose sum is σ = 42228295396672. Its totient is φ = 3485158410240.

The previous prime is 12480938093231. The next prime is 12480938093237. The reversal of 12480938093232 is 23239083908421.

12480938093232 is a `hidden beast` number, since 1 + 24 + 8 + 0 + 9 + 380 + 9 + 3 + 232 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12480938093231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86810718 + ... + 86954370.

Almost surely, 2^{12480938093232} is an apocalyptic number.

12480938093232 is a gapful number since it is divisible by the number (12) 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 12480938093232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21114147698336).

12480938093232 is an abundant number, since it is smaller than the sum of its proper divisors (29747357303440).

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

12480938093232 is a wasteful number, since it uses less digits than its factorization.

12480938093232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143898 (or 143883 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 12480938093232 in words is "twelve trillion, four hundred eighty billion, nine hundred thirty-eight million, ninety-three thousand, two hundred thirty-two".