11111000120220 has 1536 divisors, whose sum is σ = 44028085248000. Its totient is φ = 2019215278080.

The previous prime is 11111000120197. The next prime is 11111000120261. The reversal of 11111000120220 is 2202100011111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11111000120196 and 11111000120205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 35498402784 + ... + 35498403096.

It is an arithmetic number, because the mean of its divisors is an integer number (28664118000).

Almost surely, 2^{11111000120220} is an apocalyptic number.

11111000120220 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 11111000120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014042624000).

11111000120220 is an abundant number, since it is smaller than the sum of its proper divisors (32917085127780).

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

11111000120220 is a wasteful number, since it uses less digits than its factorization.

11111000120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11111000120220 its reverse (2202100011111), we get a palindrome (13313100131331).

The spelling of 11111000120220 in words is "eleven trillion, one hundred eleven billion, one hundred twenty thousand, two hundred twenty".