12484968000 has 224 divisors, whose sum is σ = 41340194688. Its totient is φ = 3320064000.

The previous prime is 12484967981. The next prime is 12484968043. The reversal of 12484968000 is 86948421.

It is a super-2 number, since 2×12484968000² (a number of 21 digits) contains 22 as substring.

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, 15863607 + ... + 15864393.

Almost surely, 2^12484968000 is an apocalyptic number.

12484968000 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 12484968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20670097344).

12484968000 is an abundant number, since it is smaller than the sum of its proper divisors (28855226688).

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

12484968000 is an equidigital number, since it uses as much as digits as its factorization.

12484968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 12484968000 in words is "twelve billion, four hundred eighty-four million, nine hundred sixty-eight thousand".