111210122112012 has 384 divisors, whose sum is σ = 373730665512960. Its totient is φ = 27760594752000.

The previous prime is 111210122111999. The next prime is 111210122112017. The reversal of 111210122112012 is 210211221012111.

It is a happy number.

111210122112012 is a `hidden beast` number, since 111 + 210 + 1 + 221 + 120 + 1 + 2 = 666.

111210122112012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (111210122112017) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 20409937 + ... + 25278167.

It is an arithmetic number, because the mean of its divisors is an integer number (973256941440).

Almost surely, 2^{111210122112012} is an apocalyptic number.

111210122112012 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 111210122112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186865332756480).

111210122112012 is an abundant number, since it is smaller than the sum of its proper divisors (262520543400948).

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

111210122112012 is a wasteful number, since it uses less digits than its factorization.

111210122112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868370 (or 4868362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 111210122112012 its reverse (210211221012111), we get a palindrome (321421343124123).

The spelling of 111210122112012 in words is "one hundred eleven trillion, two hundred ten billion, one hundred twenty-two million, one hundred twelve thousand, twelve".