120011022011112 has 256 divisors, whose sum is σ = 310650269368320. Its totient is φ = 38610914457600.

The previous prime is 120011022011093. The next prime is 120011022011123. The reversal of 120011022011112 is 211110220110021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120011022011091 and 120011022011100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65831607433 + ... + 65831609255.

It is an arithmetic number, because the mean of its divisors is an integer number (1213477614720).

Almost surely, 2^{120011022011112} is an apocalyptic number.

120011022011112 is a gapful number since it is divisible by the number (12) 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 120011022011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155325134684160).

120011022011112 is an abundant number, since it is smaller than the sum of its proper divisors (190639247357208).

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

120011022011112 is a wasteful number, since it uses less digits than its factorization.

120011022011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120011022011112 its reverse (211110220110021), we get a palindrome (331121242121133).

The spelling of 120011022011112 in words is "one hundred twenty trillion, eleven billion, twenty-two million, eleven thousand, one hundred twelve".