13242000420 has 288 divisors, whose sum is σ = 46396869120. Its totient is φ = 3131251200.

The previous prime is 13242000407. The next prime is 13242000439. The reversal of 13242000420 is 2400024231.

13242000420 is a `hidden beast` number, since 1 + 3 + 242 + 0 + 0 + 0 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13242000393 and 13242000402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2676469 + ... + 2681411.

It is an arithmetic number, because the mean of its divisors is an integer number (161100240).

Almost surely, 2^13242000420 is an apocalyptic number.

13242000420 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 13242000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23198434560).

13242000420 is an abundant number, since it is smaller than the sum of its proper divisors (33154868700).

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

13242000420 is a wasteful number, since it uses less digits than its factorization.

13242000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5024 (or 5005 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 13242000420 its reverse (2400024231), we get a palindrome (15642024651).

The spelling of 13242000420 in words is "thirteen billion, two hundred forty-two million, four hundred twenty", and thus it is an aban number.