201210211211220 has 384 divisors, whose sum is σ = 667178832499200. Its totient is φ = 50823685301760.

The previous prime is 201210211211183. The next prime is 201210211211281. The reversal of 201210211211220 is 22112112012102.

201210211211220 is a `hidden beast` number, since 2 + 0 + 1 + 21 + 0 + 211 + 211 + 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 = 201210211211193 and 201210211211202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6213819430 + ... + 6213851810.

It is an arithmetic number, because the mean of its divisors is an integer number (1737444876300).

Almost surely, 2^{201210211211220} is an apocalyptic number.

201210211211220 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 201210211211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333589416249600).

201210211211220 is an abundant number, since it is smaller than the sum of its proper divisors (465968621287980).

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

201210211211220 is a wasteful number, since it uses less digits than its factorization.

201210211211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39907 (or 39887 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201210211211220 its reverse (22112112012102), we get a palindrome (223322323223322).

The spelling of 201210211211220 in words is "two hundred one trillion, two hundred ten billion, two hundred eleven million, two hundred eleven thousand, two hundred twenty".