220200221022012 has 576 divisors, whose sum is σ = 755374491648000. Its totient is φ = 54150201959040.

The previous prime is 220200221021873. The next prime is 220200221022043. The reversal of 220200221022012 is 210220122002022.

220200221022012 is a `hidden beast` number, since 2 + 20 + 200 + 2 + 210 + 220 + 12 = 666.

220200221022012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2792997289 + ... + 2793076127.

It is an arithmetic number, because the mean of its divisors is an integer number (1311414048000).

Almost surely, 2^{220200221022012} is an apocalyptic number.

220200221022012 is a gapful number since it is divisible by the number (22) 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 220200221022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377687245824000).

220200221022012 is an abundant number, since it is smaller than the sum of its proper divisors (535174270625988).

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

220200221022012 is a wasteful number, since it uses less digits than its factorization.

220200221022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80507 (or 80488 counting only the distinct ones).

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

Adding to 220200221022012 its reverse (210220122002022), we get a palindrome (430420343024034).

The spelling of 220200221022012 in words is "two hundred twenty trillion, two hundred billion, two hundred twenty-one million, twenty-two thousand, twelve".