11112121111872 has 224 divisors, whose sum is σ = 32893425468288. Its totient is φ = 3281428480000.

The previous prime is 11112121111853. The next prime is 11112121111873. The reversal of 11112121111872 is 27811112121111.

It is a super-2 number, since 2×11112121111872² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112121111873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76214722 + ... + 76360382.

It is an arithmetic number, because the mean of its divisors is an integer number (146845649412).

Almost surely, 2^{11112121111872} is an apocalyptic number.

11112121111872 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 11112121111872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16446712734144).

11112121111872 is an abundant number, since it is smaller than the sum of its proper divisors (21781304356416).

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

11112121111872 is a wasteful number, since it uses less digits than its factorization.

11112121111872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146609 (or 146599 counting only the distinct ones).

The product of its digits is 448, while the sum is 30.

Adding to 11112121111872 its reverse (27811112121111), we get a palindrome (38923233232983).

The spelling of 11112121111872 in words is "eleven trillion, one hundred twelve billion, one hundred twenty-one million, one hundred eleven thousand, eight hundred seventy-two".