111133122000012 has 240 divisors, whose sum is σ = 334783889735680. Its totient is φ = 31488920926848.

The previous prime is 111133122000007. The next prime is 111133122000091. The reversal of 111133122000012 is 210000221331111.

111133122000012 is a `hidden beast` number, since 1 + 111 + 331 + 220 + 0 + 0 + 0 + 1 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 688037253 + ... + 688198755.

Almost surely, 2^{111133122000012} is an apocalyptic number.

111133122000012 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 111133122000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167391944867840).

111133122000012 is an abundant number, since it is smaller than the sum of its proper divisors (223650767735668).

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

111133122000012 is a wasteful number, since it uses less digits than its factorization.

111133122000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164042 (or 164031 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 111133122000012 its reverse (210000221331111), we get a palindrome (321133343331123).

The spelling of 111133122000012 in words is "one hundred eleven trillion, one hundred thirty-three billion, one hundred twenty-two million, twelve", and thus it is an aban number.