211122101201220 has 144 divisors (see below), whose sum is σ = 699712124267520. Its totient is φ = 51101269401600.

The previous prime is 211122101201189. The next prime is 211122101201243. The reversal of 211122101201220 is 22102101221112.

211122101201220 is a `hidden beast` number, since 2 + 1 + 112 + 210 + 120 + 1 + 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 = 211122101201193 and 211122101201202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81903460 + ... + 84441819.

It is an arithmetic number, because the mean of its divisors is an integer number (4859111974080).

Almost surely, 2^{211122101201220} is an apocalyptic number.

211122101201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122101201220 is an abundant number, since it is smaller than the sum of its proper divisors (488590023066300).

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

211122101201220 is a wasteful number, since it uses less digits than its factorization.

211122101201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166345946 (or 166345941 counting only the distinct ones).

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

Adding to 211122101201220 its reverse (22102101221112), we get a palindrome (233224202422332).

The spelling of 211122101201220 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred one million, two hundred one thousand, two hundred twenty".