111012122002012 has 384 divisors, whose sum is σ = 260776093261824. Its totient is φ = 40109644800000.

The previous prime is 111012122002009. The next prime is 111012122002099. The reversal of 111012122002012 is 210200221210111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3299888712 + ... + 3299922352.

It is an arithmetic number, because the mean of its divisors is an integer number (679104409536).

Almost surely, 2^{111012122002012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111012122002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130388046630912).

111012122002012 is an abundant number, since it is smaller than the sum of its proper divisors (149763971259812).

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

111012122002012 is a wasteful number, since it uses less digits than its factorization.

111012122002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33909 (or 33907 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 111012122002012 its reverse (210200221210111), we get a palindrome (321212343212123).

The spelling of 111012122002012 in words is "one hundred eleven trillion, twelve billion, one hundred twenty-two million, two thousand, twelve".