201222221220 has 384 divisors, whose sum is σ = 651442176000. Its totient is φ = 51531379200.

The previous prime is 201222221209. The next prime is 201222221227. The reversal of 201222221220 is 22122222102.

201222221220 is a `hidden beast` number, since 2 + 0 + 1 + 222 + 221 + 220 = 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 = 201222221193 and 201222221202.

It is not an unprimeable number, because it can be changed into a prime (201222221227) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 560507401 + ... + 560507759.

It is an arithmetic number, because the mean of its divisors is an integer number (1696464000).

Almost surely, 2^201222221220 is an apocalyptic number.

201222221220 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 201222221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325721088000).

201222221220 is an abundant number, since it is smaller than the sum of its proper divisors (450219954780).

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

201222221220 is a wasteful number, since it uses less digits than its factorization.

201222221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 752 counting only the distinct ones).

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

Adding to 201222221220 its reverse (22122222102), we get a palindrome (223344443322).

The spelling of 201222221220 in words is "two hundred one billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred twenty".