13412350224 has 320 divisors, whose sum is σ = 48668551680. Its totient is φ = 3441346560.

The previous prime is 13412350219. The next prime is 13412350241. The reversal of 13412350224 is 42205321431.

13412350224 is a `hidden beast` number, since 1 + 34 + 123 + 502 + 2 + 4 = 666.

It is a super-2 number, since 2×13412350224² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1449934 + ... + 1459154.

It is an arithmetic number, because the mean of its divisors is an integer number (152089224).

Almost surely, 2^13412350224 is an apocalyptic number.

13412350224 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 13412350224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24334275840).

13412350224 is an abundant number, since it is smaller than the sum of its proper divisors (35256201456).

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

13412350224 is a wasteful number, since it uses less digits than its factorization.

13412350224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9295 (or 9283 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13412350224 its reverse (42205321431), we get a palindrome (55617671655).

The spelling of 13412350224 in words is "thirteen billion, four hundred twelve million, three hundred fifty thousand, two hundred twenty-four".