112213121220 has 144 divisors (see below), whose sum is σ = 350459364528. Its totient is φ = 29041459200.

The previous prime is 112213121201. The next prime is 112213121221. The reversal of 112213121220 is 22121312211.

112213121220 is a `hidden beast` number, since 11 + 221 + 312 + 122 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9206786304 + 103006334916 = 95952^2 + 320946^2 .

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 = 112213121193 and 112213121202.

It is not an unprimeable number, because it can be changed into a prime (112213121221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2649652 + ... + 2691668.

It is an arithmetic number, because the mean of its divisors is an integer number (2433745587).

Almost surely, 2^112213121220 is an apocalyptic number.

112213121220 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 112213121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175229682264).

112213121220 is an abundant number, since it is smaller than the sum of its proper divisors (238246243308).

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

112213121220 is a wasteful number, since it uses less digits than its factorization.

112213121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42470 (or 42465 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112213121220 its reverse (22121312211), we get a palindrome (134334433431).

The spelling of 112213121220 in words is "one hundred twelve billion, two hundred thirteen million, one hundred twenty-one thousand, two hundred twenty".