12998751480000 has 2240 divisors, whose sum is σ = 59412409943040. Its totient is φ = 2737152000000.

The previous prime is 12998751479999. The next prime is 12998751480007. The reversal of 12998751480000 is 8415789921.

It is a happy number.

12998751480000 is a `hidden beast` number, since 1 + 2 + 9 + 98 + 75 + 1 + 480 + 0 + 0 + 0 = 666.

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 (12998751480007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2625477525 + ... + 2625482475.

It is an arithmetic number, because the mean of its divisors is an integer number (26523397296).

Almost surely, 2^{12998751480000} is an apocalyptic number.

12998751480000 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 12998751480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29706204971520).

12998751480000 is an abundant number, since it is smaller than the sum of its proper divisors (46413658463040).

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

12998751480000 is a wasteful number, since it uses less digits than its factorization.

12998751480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5033 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 12998751480000 in words is "twelve trillion, nine hundred ninety-eight billion, seven hundred fifty-one million, four hundred eighty thousand".