2111122222220 has 192 divisors, whose sum is σ = 5048676864000. Its totient is φ = 734920320000.

The previous prime is 2111122222211. The next prime is 2111122222247. The reversal of 2111122222220 is 222222211112.

It is a super-2 number, since 2×2111122222220² (a number of 25 digits) contains 22 as substring.

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 = 2111122222192 and 2111122222201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79956581 + ... + 79982979.

It is an arithmetic number, because the mean of its divisors is an integer number (26295192000).

Almost surely, 2^{2111122222220} is an apocalyptic number.

2111122222220 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 2111122222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524338432000).

2111122222220 is an abundant number, since it is smaller than the sum of its proper divisors (2937554641780).

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

2111122222220 is a wasteful number, since it uses less digits than its factorization.

2111122222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26640 (or 26638 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2111122222220 its reverse (222222211112), we get a palindrome (2333344433332).

The spelling of 2111122222220 in words is "two trillion, one hundred eleven billion, one hundred twenty-two million, two hundred twenty-two thousand, two hundred twenty".