220212220120020 has 288 divisors, whose sum is σ = 712238430129408. Its totient is φ = 54881142091776.

The previous prime is 220212220120007. The next prime is 220212220120021. The reversal of 220212220120020 is 20021022212022.

220212220120020 is a `hidden beast` number, since 220 + 2 + 1 + 2 + 220 + 1 + 200 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220212220119975 and 220212220120002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220212220120021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 741139527 + ... + 741436593.

It is an arithmetic number, because the mean of its divisors is an integer number (2473050104616).

Almost surely, 2^{220212220120020} is an apocalyptic number.

220212220120020 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 220212220120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356119215064704).

220212220120020 is an abundant number, since it is smaller than the sum of its proper divisors (492026210009388).

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

220212220120020 is a wasteful number, since it uses less digits than its factorization.

220212220120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298799 (or 298794 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220212220120020 its reverse (20021022212022), we get a palindrome (240233242332042).

The spelling of 220212220120020 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred twenty million, one hundred twenty thousand, twenty".