211122000221220 has 144 divisors (see below), whose sum is σ = 700600992803712. Its totient is φ = 51036101867520.

The previous prime is 211122000221207. The next prime is 211122000221227. The reversal of 211122000221220 is 22122000221112.

It is a happy number.

211122000221220 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 220 + 0 + 0 + 221 + 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 = 211122000221193 and 211122000221202.

It is not an unprimeable number, because it can be changed into a prime (211122000221227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150331192 + ... + 151729071.

It is an arithmetic number, because the mean of its divisors is an integer number (4865284672248).

Almost surely, 2^{211122000221220} is an apocalyptic number.

211122000221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122000221220 is an abundant number, since it is smaller than the sum of its proper divisors (489478992582492).

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

211122000221220 is a wasteful number, since it uses less digits than its factorization.

211122000221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302060642 (or 302060637 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211122000221220 its reverse (22122000221112), we get a palindrome (233244000442332).

The spelling of 211122000221220 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred twenty-one thousand, two hundred twenty".