220120141400 has 96 divisors (see below), whose sum is σ = 539092616400. Its totient is φ = 83355494400.

The previous prime is 220120141363. The next prime is 220120141411. The reversal of 220120141400 is 4141021022.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5608244 + ... + 5647356.

Almost surely, 2^220120141400 is an apocalyptic number.

220120141400 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 220120141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269546308200).

220120141400 is an abundant number, since it is smaller than the sum of its proper divisors (318972475000).

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

220120141400 is a wasteful number, since it uses less digits than its factorization.

220120141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40629 (or 40620 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 220120141400 its reverse (4141021022), we get a palindrome (224261162422).

The spelling of 220120141400 in words is "two hundred twenty billion, one hundred twenty million, one hundred forty-one thousand, four hundred".