201211020212220 has 384 divisors, whose sum is σ = 662435504640000. Its totient is φ = 50563064014848.

The previous prime is 201211020212203. The next prime is 201211020212227. The reversal of 201211020212220 is 22212020112102.

It is a happy number.

201211020212220 is a `hidden beast` number, since 2 + 0 + 1 + 211 + 0 + 20 + 212 + 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 = 201211020212193 and 201211020212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211020212227) 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, 1464679696 + ... + 1464817064.

It is an arithmetic number, because the mean of its divisors is an integer number (1725092460000).

Almost surely, 2^{201211020212220} is an apocalyptic number.

201211020212220 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 201211020212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331217752320000).

201211020212220 is an abundant number, since it is smaller than the sum of its proper divisors (461224484427780).

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

201211020212220 is a wasteful number, since it uses less digits than its factorization.

201211020212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138162 (or 138154 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201211020212220 its reverse (22212020112102), we get a palindrome (223423040324322).

The spelling of 201211020212220 in words is "two hundred one trillion, two hundred eleven billion, twenty million, two hundred twelve thousand, two hundred twenty".