12416260219520 has 128 divisors (see below), whose sum is σ = 30097533312000. Its totient is φ = 4897244971008.

The previous prime is 12416260219511. The next prime is 12416260219523. The reversal of 12416260219520 is 2591206261421.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (12416260219523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38720969 + ... + 39040311.

It is an arithmetic number, because the mean of its divisors is an integer number (235136979000).

Almost surely, 2^{12416260219520} is an apocalyptic number.

12416260219520 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 12416260219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15048766656000).

12416260219520 is an abundant number, since it is smaller than the sum of its proper divisors (17681273092480).

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

12416260219520 is an equidigital number, since it uses as much as digits as its factorization.

12416260219520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320210 (or 320198 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 12416260219520 in words is "twelve trillion, four hundred sixteen billion, two hundred sixty million, two hundred nineteen thousand, five hundred twenty".