220312330003242 has 96 divisors (see below), whose sum is σ = 495652692575040. Its totient is φ = 73344010222080.

The previous prime is 220312330003231. The next prime is 220312330003279. The reversal of 220312330003242 is 242300033213022.

220312330003242 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 1 + 2 + 330 + 0 + 0 + 324 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 5529769242 + ... + 5529809082.

It is an arithmetic number, because the mean of its divisors is an integer number (5163048880990).

Almost surely, 2^{220312330003242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220312330003242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247826346287520).

220312330003242 is an abundant number, since it is smaller than the sum of its proper divisors (275340362571798).

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

220312330003242 is a wasteful number, since it uses less digits than its factorization.

220312330003242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54050 (or 54038 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 220312330003242 its reverse (242300033213022), we get a palindrome (462612363216264).

The spelling of 220312330003242 in words is "two hundred twenty trillion, three hundred twelve billion, three hundred thirty million, three thousand, two hundred forty-two".