11011220011220 has 384 divisors, whose sum is σ = 28817363312640. Its totient is φ = 3477132933120.

The previous prime is 11011220011201. The next prime is 11011220011237. The reversal of 11011220011220 is 2211002211011.

It is a super-2 number, since 2×11011220011220² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11011220011195 and 11011220011204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1250276057 + ... + 1250284863.

It is an arithmetic number, because the mean of its divisors is an integer number (75045216960).

Almost surely, 2^{11011220011220} is an apocalyptic number.

11011220011220 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 11011220011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14408681656320).

11011220011220 is an abundant number, since it is smaller than the sum of its proper divisors (17806143301420).

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

11011220011220 is a wasteful number, since it uses less digits than its factorization.

11011220011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9175 (or 9173 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11011220011220 its reverse (2211002211011), we get a palindrome (13222222222231).

The spelling of 11011220011220 in words is "eleven trillion, eleven billion, two hundred twenty million, eleven thousand, two hundred twenty".