111222122100000 has 1152 divisors, whose sum is σ = 396663404417280. Its totient is φ = 27189872640000.

The previous prime is 111222122099953. The next prime is 111222122100031. The reversal of 111222122100000 is 1221222111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41547298662 + ... + 41547301338.

It is an arithmetic number, because the mean of its divisors is an integer number (344325871890).

Almost surely, 2^{111222122100000} is an apocalyptic number.

111222122100000 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 111222122100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198331702208640).

111222122100000 is an abundant number, since it is smaller than the sum of its proper divisors (285441282317280).

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

111222122100000 is a wasteful number, since it uses less digits than its factorization.

111222122100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 111222122100000 its reverse (1221222111), we get a palindrome (111223343322111).

The spelling of 111222122100000 in words is "one hundred eleven trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred thousand".