220354434120 has 128 divisors (see below), whose sum is σ = 669713702400. Its totient is φ = 57996632064.

The previous prime is 220354434107. The next prime is 220354434137. The reversal of 220354434120 is 21434453022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3206844 + ... + 3274836.

It is an arithmetic number, because the mean of its divisors is an integer number (5232138300).

Almost surely, 2^220354434120 is an apocalyptic number.

220354434120 is a gapful number since it is divisible by the number (20) 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 220354434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334856851200).

220354434120 is an abundant number, since it is smaller than the sum of its proper divisors (449359268280).

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

220354434120 is a wasteful number, since it uses less digits than its factorization.

220354434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68359 (or 68355 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 220354434120 its reverse (21434453022), we get a palindrome (241788887142).

The spelling of 220354434120 in words is "two hundred twenty billion, three hundred fifty-four million, four hundred thirty-four thousand, one hundred twenty".