112213221120 has 1728 divisors, whose sum is σ = 537405732864. Its totient is φ = 20862074880.

The previous prime is 112213221103. The next prime is 112213221163. The reversal of 112213221120 is 21122312211.

112213221120 is a `hidden beast` number, since 1 + 1 + 221 + 322 + 1 + 120 = 666.

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 = 112213221093 and 112213221102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 426666109 + ... + 426666371.

It is an arithmetic number, because the mean of its divisors is an integer number (310998688).

Almost surely, 2^112213221120 is an apocalyptic number.

112213221120 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 112213221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268702866432).

112213221120 is an abundant number, since it is smaller than the sum of its proper divisors (425192511744).

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

112213221120 is a wasteful number, since it uses less digits than its factorization.

112213221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 341 counting only the distinct ones).

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

Adding to 112213221120 its reverse (21122312211), we get a palindrome (133335533331).

It can be divided in two parts, 112213 and 221120, that added together give a palindrome (333333).

The spelling of 112213221120 in words is "one hundred twelve billion, two hundred thirteen million, two hundred twenty-one thousand, one hundred twenty".