220221012010120 has 384 divisors, whose sum is σ = 582350424566400. Its totient is φ = 74677359144960.

The previous prime is 220221012010079. The next prime is 220221012010159. The reversal of 220221012010120 is 21010210122022.

It is a happy number.

It is a super-2 number, since 2×220221012010120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220221012010094 and 220221012010103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1544764764 + ... + 1544907316.

It is an arithmetic number, because the mean of its divisors is an integer number (1516537563975).

Almost surely, 2^{220221012010120} is an apocalyptic number.

220221012010120 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 220221012010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291175212283200).

220221012010120 is an abundant number, since it is smaller than the sum of its proper divisors (362129412556280).

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

220221012010120 is a wasteful number, since it uses less digits than its factorization.

220221012010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142869 (or 142854 counting only the distinct ones).

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

Adding to 220221012010120 its reverse (21010210122022), we get a palindrome (241231222132142).

The spelling of 220221012010120 in words is "two hundred twenty trillion, two hundred twenty-one billion, twelve million, ten thousand, one hundred twenty".