112211201120220 has 480 divisors, whose sum is σ = 365087794046976. Its totient is φ = 28834589952000.

The previous prime is 112211201120219. The next prime is 112211201120233. The reversal of 112211201120220 is 22021102112211.

112211201120220 is a `hidden beast` number, since 1 + 1 + 221 + 1 + 201 + 1 + 20 + 220 = 666.

112211201120220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 112211201120193 and 112211201120202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1299133635 + ... + 1299220005.

Almost surely, 2^{112211201120220} is an apocalyptic number.

112211201120220 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 112211201120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182543897023488).

112211201120220 is an abundant number, since it is smaller than the sum of its proper divisors (252876592926756).

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

112211201120220 is a wasteful number, since it uses less digits than its factorization.

112211201120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86703 (or 86692 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112211201120220 its reverse (22021102112211), we get a palindrome (134232303232431).

The spelling of 112211201120220 in words is "one hundred twelve trillion, two hundred eleven billion, two hundred one million, one hundred twenty thousand, two hundred twenty".