120011122000112 has 160 divisors (see below), whose sum is σ = 281335255534080. Its totient is φ = 48498023992320.

The previous prime is 120011122000093. The next prime is 120011122000151. The reversal of 120011122000112 is 211000221110021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1050635162 + ... + 1050749382.

It is an arithmetic number, because the mean of its divisors is an integer number (1758345347088).

Almost surely, 2^{120011122000112} 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 120011122000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140667627767040).

120011122000112 is an abundant number, since it is smaller than the sum of its proper divisors (161324133533968).

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

120011122000112 is a wasteful number, since it uses less digits than its factorization.

120011122000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121831 (or 121825 counting only the distinct ones).

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

Adding to 120011122000112 its reverse (211000221110021), we get a palindrome (331011343110133).

The spelling of 120011122000112 in words is "one hundred twenty trillion, eleven billion, one hundred twenty-two million, one hundred twelve", and thus it is an aban number.