111121100220000 has 480 divisors, whose sum is σ = 405200450350080. Its totient is φ = 26470529280000.

The previous prime is 111121100219963. The next prime is 111121100220019. The reversal of 111121100220000 is 22001121111.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 21882211 + ... + 26477789.

It is an arithmetic number, because the mean of its divisors is an integer number (844167604896).

Almost surely, 2^{111121100220000} is an apocalyptic number.

111121100220000 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 111121100220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202600225175040).

111121100220000 is an abundant number, since it is smaller than the sum of its proper divisors (294079350130080).

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

111121100220000 is a wasteful number, since it uses less digits than its factorization.

111121100220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595656 (or 4595633 counting only the distinct ones).

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

Adding to 111121100220000 its reverse (22001121111), we get a palindrome (111143101341111).

The spelling of 111121100220000 in words is "one hundred eleven trillion, one hundred twenty-one billion, one hundred million, two hundred twenty thousand".