12213135598248 has 384 divisors, whose sum is σ = 37860704743680. Its totient is φ = 3528134184960.

The previous prime is 12213135598193. The next prime is 12213135598267. The reversal of 12213135598248 is 84289553131221.

12213135598248 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 1 + 3 + 5 + 598 + 2 + 48 = 666.

It is a super-2 number, since 2×12213135598248² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12213135598194 and 12213135598203.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 405292590 + ... + 405322722.

It is an arithmetic number, because the mean of its divisors is an integer number (98595585270).

Almost surely, 2^{12213135598248} is an apocalyptic number.

12213135598248 is a gapful number since it is divisible by the number (18) 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 12213135598248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18930352371840).

12213135598248 is an abundant number, since it is smaller than the sum of its proper divisors (25647569145432).

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

12213135598248 is a wasteful number, since it uses less digits than its factorization.

12213135598248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30529 (or 30522 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 12213135598248 in words is "twelve trillion, two hundred thirteen billion, one hundred thirty-five million, five hundred ninety-eight thousand, two hundred forty-eight".