12482346240 has 1152 divisors, whose sum is σ = 56316288000. Its totient is φ = 2633637888.

The previous prime is 12482346223. The next prime is 12482346277. The reversal of 12482346240 is 4264328421.

12482346240 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 23 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 12482346195 and 12482346204.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3276 × 1260 × 3024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 960180474 + ... + 960180486.

Almost surely, 2^12482346240 is an apocalyptic number.

12482346240 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 12482346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28158144000).

12482346240 is an abundant number, since it is smaller than the sum of its proper divisors (43833941760).

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

12482346240 is an frugal number, since it uses more digits than its factorization.

12482346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 12482346240 in words is "twelve billion, four hundred eighty-two million, three hundred forty-six thousand, two hundred forty".