42122013330 has 128 divisors (see below), whose sum is σ = 112785592320. Its totient is φ = 10005396480.

The previous prime is 42122013319. The next prime is 42122013377. The reversal of 42122013330 is 3331022124.

It is a junction number, because it is equal to n+sod(n) for n = 42122013297 and 42122013306.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 15221607 + ... + 15224373.

It is an arithmetic number, because the mean of its divisors is an integer number (881137440).

Almost surely, 2^42122013330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42122013330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56392796160).

42122013330 is an abundant number, since it is smaller than the sum of its proper divisors (70663578990).

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

42122013330 is a wasteful number, since it uses less digits than its factorization.

42122013330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 42122013330 its reverse (3331022124), we get a palindrome (45453035454).

The spelling of 42122013330 in words is "forty-two billion, one hundred twenty-two million, thirteen thousand, three hundred thirty".