211220210111220 has 384 divisors, whose sum is σ = 687862647521280. Its totient is φ = 53706695708160.

The previous prime is 211220210111203. The next prime is 211220210111329. The reversal of 211220210111220 is 22111012022112.

211220210111220 is a `hidden beast` number, since 2 + 1 + 1 + 220 + 210 + 1 + 11 + 220 = 666.

It is a super-2 number, since 2×211220210111220² (a number of 29 digits) contains 22 as substring.

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 = 211220210111193 and 211220210111202.

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, 12357108994 + ... + 12357126086.

It is an arithmetic number, because the mean of its divisors is an integer number (1791308977920).

Almost surely, 2^{211220210111220} is an apocalyptic number.

211220210111220 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 211220210111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343931323760640).

211220210111220 is an abundant number, since it is smaller than the sum of its proper divisors (476642437410060).

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

211220210111220 is a wasteful number, since it uses less digits than its factorization.

211220210111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20212 (or 20204 counting only the distinct ones).

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

Adding to 211220210111220 its reverse (22111012022112), we get a palindrome (233331222133332).

The spelling of 211220210111220 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred ten million, one hundred eleven thousand, two hundred twenty".