12215516135424 has 384 divisors, whose sum is σ = 39427797427200. Its totient is φ = 3284039368704.

The previous prime is 12215516135423. The next prime is 12215516135437. The reversal of 12215516135424 is 42453161551221.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12215516135423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2994731017 + ... + 2994735095.

It is an arithmetic number, because the mean of its divisors is an integer number (102676555800).

Almost surely, 2^{12215516135424} is an apocalyptic number.

12215516135424 is a gapful number since it is divisible by the number (14) 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 12215516135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19713898713600).

12215516135424 is an abundant number, since it is smaller than the sum of its proper divisors (27212281291776).

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

12215516135424 is an frugal number, since it uses more digits than its factorization.

12215516135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4108 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

Adding to 12215516135424 its reverse (42453161551221), we get a palindrome (54668677686645).

The spelling of 12215516135424 in words is "twelve trillion, two hundred fifteen billion, five hundred sixteen million, one hundred thirty-five thousand, four hundred twenty-four".