11211222011220 has 768 divisors, whose sum is σ = 45868032000000. Its totient is φ = 2202493524480.

The previous prime is 11211222011219. The next prime is 11211222011251. The reversal of 11211222011220 is 2211022211211.

11211222011220 is a `hidden beast` number, since 1 + 1 + 211 + 2 + 220 + 11 + 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 = 11211222011193 and 11211222011202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 394205761 + ... + 394234199.

It is an arithmetic number, because the mean of its divisors is an integer number (59724000000).

Almost surely, 2^{11211222011220} is an apocalyptic number.

11211222011220 is a gapful number since it is divisible by the number (10) 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 11211222011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22934016000000).

11211222011220 is an abundant number, since it is smaller than the sum of its proper divisors (34656809988780).

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

11211222011220 is a wasteful number, since it uses less digits than its factorization.

11211222011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28993 (or 28985 counting only the distinct ones).

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

Adding to 11211222011220 its reverse (2211022211211), we get a palindrome (13422244222431).

The spelling of 11211222011220 in words is "eleven trillion, two hundred eleven billion, two hundred twenty-two million, eleven thousand, two hundred twenty".