220120001023120 has 80 divisors (see below), whose sum is σ = 558345301113600. Its totient is φ = 80037767936000.

The previous prime is 220120001023081. The next prime is 220120001023123. The reversal of 220120001023120 is 21320100021022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 220120001023094 and 220120001023103.

It is not an unprimeable number, because it can be changed into a prime (220120001023123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2847945 + ... + 21174295.

It is an arithmetic number, because the mean of its divisors is an integer number (6979316263920).

Almost surely, 2^{220120001023120} is an apocalyptic number.

220120001023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220120001023120 is an abundant number, since it is smaller than the sum of its proper divisors (338225300090480).

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

220120001023120 is a wasteful number, since it uses less digits than its factorization.

220120001023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18340024 (or 18340018 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 220120001023120 its reverse (21320100021022), we get a palindrome (241440101044142).

The spelling of 220120001023120 in words is "two hundred twenty trillion, one hundred twenty billion, one million, twenty-three thousand, one hundred twenty".