220122202121120 has 96 divisors (see below), whose sum is σ = 571957460299008. Its totient is φ = 79546615723008.

The previous prime is 220122202121099. The next prime is 220122202121131. The reversal of 220122202121120 is 21121202221022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220122202121092 and 220122202121101.

It is an unprimeable number.

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, 1125731834 + ... + 1125927353.

It is an arithmetic number, because the mean of its divisors is an integer number (5957890211448).

Almost surely, 2^{220122202121120} is an apocalyptic number.

220122202121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220122202121120 is an abundant number, since it is smaller than the sum of its proper divisors (351835258177888).

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

220122202121120 is a wasteful number, since it uses less digits than its factorization.

220122202121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251659262 (or 2251659254 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 220122202121120 its reverse (21121202221022), we get a palindrome (241243404342142).

The spelling of 220122202121120 in words is "two hundred twenty trillion, one hundred twenty-two billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty".