211011120133220 has 288 divisors, whose sum is σ = 495895271316480. Its totient is φ = 75355023744000.

The previous prime is 211011120133201. The next prime is 211011120133243. The reversal of 211011120133220 is 22331021110112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211011120133192 and 211011120133201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23292977051 + ... + 23292986109.

It is an arithmetic number, because the mean of its divisors is an integer number (1721858580960).

Almost surely, 2^{211011120133220} is an apocalyptic number.

211011120133220 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 211011120133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247947635658240).

211011120133220 is an abundant number, since it is smaller than the sum of its proper divisors (284884151183260).

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

211011120133220 is a wasteful number, since it uses less digits than its factorization.

211011120133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9955 (or 9942 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 211011120133220 its reverse (22331021110112), we get a palindrome (233342141243332).

The spelling of 211011120133220 in words is "two hundred eleven trillion, eleven billion, one hundred twenty million, one hundred thirty-three thousand, two hundred twenty".