112211212120 has 128 divisors (see below), whose sum is σ = 299519078400. Its totient is φ = 37022860800.

The previous prime is 112211212103. The next prime is 112211212121. The reversal of 112211212120 is 21212112211.

It is a super-2 number, since 2×112211212120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112211212094 and 112211212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112211212121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1517610 + ... + 1589830.

It is an arithmetic number, because the mean of its divisors is an integer number (2339992800).

Almost surely, 2^112211212120 is an apocalyptic number.

112211212120 is a gapful number since it is divisible by the number (10) 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 112211212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149759539200).

112211212120 is an abundant number, since it is smaller than the sum of its proper divisors (187307866280).

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

112211212120 is a wasteful number, since it uses less digits than its factorization.

112211212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72449 (or 72445 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112211212120 its reverse (21212112211), we get a palindrome (133423324331).

Subtracting from 112211212120 its reverse (21212112211), we obtain a palindrome (90999099909).

The spelling of 112211212120 in words is "one hundred twelve billion, two hundred eleven million, two hundred twelve thousand, one hundred twenty".