220301411133342 has 128 divisors (see below), whose sum is σ = 550042074316800. Its totient is φ = 57146268332160.

The previous prime is 220301411133319. The next prime is 220301411133343. The reversal of 220301411133342 is 243331114103022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220301411133343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2131574284 + ... + 2131677632.

It is an arithmetic number, because the mean of its divisors is an integer number (4297203705600).

Almost surely, 2^{220301411133342} is an apocalyptic number.

220301411133342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220301411133342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275021037158400).

220301411133342 is an abundant number, since it is smaller than the sum of its proper divisors (329740663183458).

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

220301411133342 is a wasteful number, since it uses less digits than its factorization.

220301411133342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109366.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 220301411133342 its reverse (243331114103022), we get a palindrome (463632525236364).

The spelling of 220301411133342 in words is "two hundred twenty trillion, three hundred one billion, four hundred eleven million, one hundred thirty-three thousand, three hundred forty-two".