111112122121000 has 1536 divisors, whose sum is σ = 362648482560000. Its totient is φ = 31636281600000.

The previous prime is 111112122120919. The next prime is 111112122121067. The reversal of 111112122121000 is 121221211111.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 54493437981 + ... + 54493440019.

It is an arithmetic number, because the mean of its divisors is an integer number (236099272500).

Almost surely, 2^{111112122121000} is an apocalyptic number.

111112122121000 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 111112122121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181324241280000).

111112122121000 is an abundant number, since it is smaller than the sum of its proper divisors (251536360439000).

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

111112122121000 is a wasteful number, since it uses less digits than its factorization.

111112122121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2178 counting only the distinct ones).

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

Adding to 111112122121000 its reverse (121221211111), we get a palindrome (111233343332111).

The spelling of 111112122121000 in words is "one hundred eleven trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand".