111012012122000 has 320 divisors, whose sum is σ = 303366667219200. Its totient is φ = 38919444480000.

The previous prime is 111012012121987. The next prime is 111012012122129. The reversal of 111012012122000 is 221210210111.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 440732096 + ... + 440983904.

It is an arithmetic number, because the mean of its divisors is an integer number (948020835060).

Almost surely, 2^{111012012122000} is an apocalyptic number.

111012012122000 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 111012012122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151683333609600).

111012012122000 is an abundant number, since it is smaller than the sum of its proper divisors (192354655097200).

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

111012012122000 is a wasteful number, since it uses less digits than its factorization.

111012012122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252563 (or 252547 counting only the distinct ones).

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

Adding to 111012012122000 its reverse (221210210111), we get a palindrome (111233222332111).

The spelling of 111012012122000 in words is "one hundred eleven trillion, twelve billion, twelve million, one hundred twenty-two thousand".