201211000211220 has 96 divisors (see below), whose sum is σ = 567513687194496. Its totient is φ = 53264255116800.

The previous prime is 201211000211173. The next prime is 201211000211227. The reversal of 201211000211220 is 22112000112102.

It is a super-2 number, since 2×201211000211220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201211000211220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211000211227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71346 + ... + 20060585.

It is an arithmetic number, because the mean of its divisors is an integer number (5911600908276).

Almost surely, 2^{201211000211220} is an apocalyptic number.

201211000211220 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 201211000211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283756843597248).

201211000211220 is an abundant number, since it is smaller than the sum of its proper divisors (366302686983276).

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

201211000211220 is a wasteful number, since it uses less digits than its factorization.

201211000211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20133161 (or 20133159 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201211000211220 its reverse (22112000112102), we get a palindrome (223323000323322).

The spelling of 201211000211220 in words is "two hundred one trillion, two hundred eleven billion, two hundred eleven thousand, two hundred twenty".