112211212211120 has 160 divisors (see below), whose sum is σ = 288324866027520. Its totient is φ = 40271663877120.

The previous prime is 112211212211089. The next prime is 112211212211123. The reversal of 112211212211120 is 21112212112211.

It is a happy number.

It is a super-2 number, since 2×112211212211120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112211212211092 and 112211212211101.

It is not an unprimeable number, because it can be changed into a prime (112211212211123) 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, 176472002 + ... + 177106718.

It is an arithmetic number, because the mean of its divisors is an integer number (1802030412672).

Almost surely, 2^{112211212211120} is an apocalyptic number.

112211212211120 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 112211212211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144162433013760).

112211212211120 is an abundant number, since it is smaller than the sum of its proper divisors (176113653816400).

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

112211212211120 is a wasteful number, since it uses less digits than its factorization.

112211212211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637363 (or 637357 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 112211212211120 its reverse (21112212112211), we get a palindrome (133323424323331).

The spelling of 112211212211120 in words is "one hundred twelve trillion, two hundred eleven billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty".