220221211220120 has 128 divisors (see below), whose sum is σ = 564068191495680. Its totient is φ = 76595511168000.

The previous prime is 220221211220113. The next prime is 220221211220173. The reversal of 220221211220120 is 21022112122022.

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 = 220221211220092 and 220221211220101.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 250952915 + ... + 251828925.

It is an arithmetic number, because the mean of its divisors is an integer number (4406782746060).

Almost surely, 2^{220221211220120} is an apocalyptic number.

220221211220120 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 220221211220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282034095747840).

220221211220120 is an abundant number, since it is smaller than the sum of its proper divisors (343846980275560).

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

220221211220120 is a wasteful number, since it uses less digits than its factorization.

220221211220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900897 (or 900893 counting only the distinct ones).

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

Adding to 220221211220120 its reverse (21022112122022), we get a palindrome (241243323342142).

The spelling of 220221211220120 in words is "two hundred twenty trillion, two hundred twenty-one billion, two hundred eleven million, two hundred twenty thousand, one hundred twenty".