12884519201920 has 256 divisors, whose sum is σ = 33339395232000. Its totient is φ = 4749107134464.

The previous prime is 12884519201891. The next prime is 12884519201923. The reversal of 12884519201920 is 2910291548821.

It is not an unprimeable number, because it can be changed into a prime (12884519201923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46066656 + ... + 46345504.

It is an arithmetic number, because the mean of its divisors is an integer number (130232012625).

Almost surely, 2^{12884519201920} is an apocalyptic number.

12884519201920 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 12884519201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16669697616000).

12884519201920 is an abundant number, since it is smaller than the sum of its proper divisors (20454876030080).

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

12884519201920 is a wasteful number, since it uses less digits than its factorization.

12884519201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279007 (or 278995 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 52.

The spelling of 12884519201920 in words is "twelve trillion, eight hundred eighty-four billion, five hundred nineteen million, two hundred one thousand, nine hundred twenty".