220212102010120 has 128 divisors (see below), whose sum is σ = 544858507440000. Its totient is φ = 79437032519680.

The previous prime is 220212102010111. The next prime is 220212102010139. The reversal of 220212102010120 is 21010201212022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 220212102010094 and 220212102010103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23585331 + ... + 31570429.

It is an arithmetic number, because the mean of its divisors is an integer number (4256707089375).

Almost surely, 2^{220212102010120} is an apocalyptic number.

220212102010120 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 220212102010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272429253720000).

220212102010120 is an abundant number, since it is smaller than the sum of its proper divisors (324646405429880).

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

220212102010120 is a wasteful number, since it uses less digits than its factorization.

220212102010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7985623 (or 7985619 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220212102010120 its reverse (21010201212022), we get a palindrome (241222303222142).

The spelling of 220212102010120 in words is "two hundred twenty trillion, two hundred twelve billion, one hundred two million, ten thousand, one hundred twenty".