12481996800 has 1152 divisors, whose sum is σ = 54596505600. Its totient is φ = 2441871360.

The previous prime is 12481996789. The next prime is 12481996801. The reversal of 12481996800 is 869918421.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12481996800.

It is not an unprimeable number, because it can be changed into a prime (12481996801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265574377 + ... + 265574423.

It is an arithmetic number, because the mean of its divisors is an integer number (47392800).

Almost surely, 2^12481996800 is an apocalyptic number.

12481996800 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 12481996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27298252800).

12481996800 is an abundant number, since it is smaller than the sum of its proper divisors (42114508800).

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

12481996800 is a wasteful number, since it uses less digits than its factorization.

12481996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

It can be divided in two parts, 1248 and 1996800, that multiplied together give a square (2492006400 = 49920²).

The spelling of 12481996800 in words is "twelve billion, four hundred eighty-one million, nine hundred ninety-six thousand, eight hundred".