211011221222120 has 128 divisors (see below), whose sum is σ = 529993393712640. Its totient is φ = 74945245482240.

The previous prime is 211011221222093. The next prime is 211011221222129. The reversal of 211011221222120 is 21222122110112.

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 = 211011221222092 and 211011221222101.

It is not an unprimeable number, because it can be changed into a prime (211011221222129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1128049319 + ... + 1128236361.

It is an arithmetic number, because the mean of its divisors is an integer number (4140573388380).

Almost surely, 2^{211011221222120} is an apocalyptic number.

211011221222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211011221222120 is an abundant number, since it is smaller than the sum of its proper divisors (318982172490520).

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

211011221222120 is a wasteful number, since it uses less digits than its factorization.

211011221222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246735 (or 246731 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211011221222120 its reverse (21222122110112), we get a palindrome (232233343332232).

The spelling of 211011221222120 in words is "two hundred eleven trillion, eleven billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty".