111001011212112 has 80 divisors (see below), whose sum is σ = 344965548648960. Its totient is φ = 30045386491776.

The previous prime is 111001011212111. The next prime is 111001011212137. The reversal of 111001011212112 is 211212110100111.

It is a super-3 number, since 3×111001011212112³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 111001011212091 and 111001011212100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111001011212111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8693681838 + ... + 8693694605.

It is an arithmetic number, because the mean of its divisors is an integer number (4312069358112).

Almost surely, 2^{111001011212112} is an apocalyptic number.

111001011212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111001011212112 is an abundant number, since it is smaller than the sum of its proper divisors (233964537436848).

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

111001011212112 is a wasteful number, since it uses less digits than its factorization.

111001011212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17387376480 (or 17387376474 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 111001011212112 its reverse (211212110100111), we get a palindrome (322213121312223).

The spelling of 111001011212112 in words is "one hundred eleven trillion, one billion, eleven million, two hundred twelve thousand, one hundred twelve".