2112111221220 has 576 divisors, whose sum is σ = 8834568777216. Its totient is φ = 394169794560.

The previous prime is 2112111221179. The next prime is 2112111221263. The reversal of 2112111221220 is 221221112112.

2112111221220 is a `hidden beast` number, since 2 + 11 + 211 + 1 + 221 + 220 = 666.

It is a super-2 number, since 2×2112111221220² (a number of 25 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 = 2112111221193 and 2112111221202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6508252 + ... + 6825068.

It is an arithmetic number, because the mean of its divisors is an integer number (15337793016).

Almost surely, 2^{2112111221220} is an apocalyptic number.

2112111221220 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 2112111221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4417284388608).

2112111221220 is an abundant number, since it is smaller than the sum of its proper divisors (6722457555996).

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

2112111221220 is a wasteful number, since it uses less digits than its factorization.

2112111221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316900 (or 316895 counting only the distinct ones).

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

Adding to 2112111221220 its reverse (221221112112), we get a palindrome (2333332333332).

The spelling of 2112111221220 in words is "two trillion, one hundred twelve billion, one hundred eleven million, two hundred twenty-one thousand, two hundred twenty".