220305512301 has 64 divisors (see below), whose sum is σ = 347818352640. Its totient is φ = 121426905600.

The previous prime is 220305512279. The next prime is 220305512327. The reversal of 220305512301 is 103215503022.

It is a happy number.

It is not a de Polignac number, because 220305512301 - 2²² = 220301317997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220305522301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30804076 + ... + 30811226.

It is an arithmetic number, because the mean of its divisors is an integer number (5434661760).

Almost surely, 2^220305512301 is an apocalyptic number.

220305512301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220305512301 is a deficient number, since it is larger than the sum of its proper divisors (127512840339).

220305512301 is a wasteful number, since it uses less digits than its factorization.

220305512301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7626.

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 220305512301 in words is "two hundred twenty billion, three hundred five million, five hundred twelve thousand, three hundred one".